المؤلفون: Dhara, Basudeb, Kar, Sukhendu, Mondal, Sachhidananda

مصطلحات موضوعية: keyword:prime ring, keyword:derivation, keyword:generalized derivation, keyword:extended centroid, keyword:Utumi quotient ring, keyword:Lie ideal, keyword:Banach algebra, msc:16N60, msc:16W25, msc:16W80

وصف الملف: application/pdf

العلاقة: mr:MR3336032; zbl:Zbl 06433728; reference:[1] Beidar, K. I., III, W. S. Martindale, Mikhalev, A. V.: Rings with Generalized Identities.Monographs and Textbooks in Pure and Applied Mathematics 196 Marcel Dekker, New York (1996). MR 1368853; reference:[2] Bergen, J., Herstein, I. N., Kerr, J. W.: Lie ideals and derivations of prime rings.J. Algebra 71 (1981), 259-267. Zbl 0463.16023, MR 0627439, 10.1016/0021-8693(81)90120-4; reference:[3] Brešar, M., Vukman, J.: On left derivations and related mappings.Proc. Am. Math. Soc. 110 (1990), 7-16. Zbl 0703.16020, MR 1028284, 10.1090/S0002-9939-1990-1028284-3; reference:[4] Carini, L., Filippis, V. De: Commutators with power central values on a Lie ideal.Pac. J. Math. 193 (2000), 269-278. Zbl 1009.16034, MR 1755818, 10.2140/pjm.2000.193.269; reference:[5] Chuang, C.-L.: G{PI}s having coefficients in Utumi quotient rings.Proc. Am. Math. Soc. 103 (1988), 723-728. Zbl 0656.16006, MR 0947646, 10.1090/S0002-9939-1988-0947646-4; reference:[6] Filippis, V. De: Generalized derivations and commutators with nilpotent values on Lie ideals.Tamsui Oxf. J. Math. Sci. 22 (2006), 167-175. Zbl 1133.16022, MR 2285443; reference:[7] Filippis, V. de, Scudo, G., El-Sayiad, M. S. Tammam: An identity with generalized derivations on Lie ideals, right ideals and Banach algebras.Czech. Math. J. 62 (2012), 453-468. MR 2990186, 10.1007/s10587-012-0039-0; reference:[8] Dhara, B.: Power values of derivations with annihilator conditions on Lie ideals in prime rings.Commun. Algebra 37 (2009), 2159-2167. Zbl 1181.16035, MR 2531892, 10.1080/00927870802226213; reference:[9] Erickson, T. S., III, W. S. Martindale, Osborn, J. M.: Prime nonassociative algebras.Pac. J. Math. 60 (1975), 49-63. MR 0382379, 10.2140/pjm.1975.60.49; reference:[10] Johnson, B. E., Sinclair, A. M.: Continuity of derivations and a problem of Kaplansky.Am. J. Math. 90 (1968), 1067-1073. Zbl 0179.18103, MR 0239419, 10.2307/2373290; reference:[11] Jacobson, N.: Structure of Rings.American Mathematical Society Colloquium Publications 37 American Mathematical Society, Providence (1964). MR 0222106; reference:[12] Kharchenko, V. K.: Differential identities of prime rings.Algebra Logic 17 (1979), 155-168 translation from Algebra i Logika Russian 17 (1978), 220-238, 242-243. MR 0541758; reference:[13] Kim, B.-D.: Jordan derivations on prime rings and their applications in Banach algebras, I.Commun. Korean Math. Soc. 28 (2013), 535-558. Zbl 1281.47021, MR 3085603, 10.4134/CKMS.2013.28.3.535; reference:[14] Kim, B.-D.: Derivations of semiprime rings and noncommutative Banach algebras.Commun. Korean Math. Soc. 17 (2002), 607-618. Zbl 1101.46317, MR 1971004, 10.4134/CKMS.2002.17.4.607; reference:[15] Kim, B.: On the derivations of semiprime rings and noncommutative Banach algebras.Acta Math. Sin., Engl. Ser. 16 (2000), 21-28. Zbl 0973.16020, MR 1760520, 10.1007/s101149900020; reference:[16] Lanski, C.: Differential identities, Lie ideals, and Posner's theorems.Pac. J. Math. 134 (1988), 275-297. Zbl 0614.16028, MR 0961236, 10.2140/pjm.1988.134.275; reference:[17] Lanski, C., Montgomery, S.: Lie structure of prime rings of characteristic $2$.Pac. J. Math. 42 (1972), 117-136. Zbl 0243.16018, MR 0323839, 10.2140/pjm.1972.42.117; reference:[18] Lee, P. H., Lee, T. K.: Lie ideals of prime rings with derivations.Bull. Inst. Math., Acad. Sin. 11 (1983), 75-80. Zbl 0515.16018, MR 0718903; reference:[19] Lee, T.-K.: Generalized derivations of left faithful rings.Commun. Algebra 27 (1999), 4057-4073. Zbl 0946.16026, MR 1700189, 10.1080/00927879908826682; reference:[20] Lee, T. K.: Semiprime rings with differential identities.Bull. Inst. Math., Acad. Sin. 20 (1992), 27-38. Zbl 0769.16017, MR 1166215; reference:[21] III, W. S. Martindale: Prime rings satisfying a generalized polynomial identity.J. Algebra 12 (1969), 576-584. MR 0238897, 10.1016/0021-8693(69)90029-5; reference:[22] Mathieu, M.: Properties of the product of two derivations of a {$C^*$}-algebra.Can. Math. Bull. 32 (1989), 490-497. MR 1019418, 10.4153/CMB-1989-072-4; reference:[23] Mathieu, M., Murphy, G. J.: Derivations mapping into the radical.Arch. Math. 57 (1991), 469-474. Zbl 0714.46038, MR 1129522, 10.1007/BF01246745; reference:[24] Park, K.-H.: On derivations in noncommutative semiprime rings and Banach algebras.Bull. Korean Math. Soc. 42 (2005), 671-678. Zbl 1105.16031, MR 2181155, 10.4134/BKMS.2005.42.4.671; reference:[25] Posner, E. C.: Derivations in prime rings.Proc. Am. Math. Soc. 8 (1957), 1093-1100. MR 0095863, 10.1090/S0002-9939-1957-0095863-0; reference:[26] Sinclair, A. M.: Continuous derivations on Banach algebras.Proc. Am. Math. Soc. 20 (1969), 166-170. Zbl 0164.44603, MR 0233207, 10.1090/S0002-9939-1969-0233207-X; reference:[27] Singer, I. M., Wermer, J.: Derivations on commutative normed algebras.Math. Ann. 129 (1955), 260-264. Zbl 0067.35101, MR 0070061, 10.1007/BF01362370; reference:[28] Thomas, M. P.: The image of a derivation is contained in the radical.Ann. Math. (2) 128 (1988), 435-460. Zbl 0681.47016, MR 0970607; reference:[29] Vukman, J.: On derivations in prime rings and Banach algebras.Proc. Am. Math. Soc. 116 (1992), 877-884. Zbl 0792.16034, MR 1072093, 10.1090/S0002-9939-1992-1072093-8; reference:[30] Yood, B.: Continuous homomorphisms and derivations on Banach algebras.Proceedings of the Conference on Banach Algebras and Several Complex Variables, New Haven, Conn., 1983 Contemp. Math. 32 Amer. Math. Soc., Providence (1984), 279-284 F. Greenleaf et al. Zbl 0569.46025, MR 0769517

الإتاحة: https://doi.org/10.1007/s10587-015-0167-4Test
http://hdl.handle.net/10338.dmlcz/144220Test

المؤلفون: Nandi, Prasanta Kumar, Gorain, Ganesh Chandra, Kar, Samarjit

مصطلحات موضوعية: keyword:Kirchhoff equation, keyword:dissipation, keyword:vibration, keyword:stabilization, keyword:energy decay estimate, msc:35B35, msc:35L70, msc:37L15, msc:45K05

وصف الملف: application/pdf

العلاقة: mr:MR3183473; zbl:Zbl 06362222; reference:[1] Aassila, M., Benaissa, A.: Global existence and asymptotic behavior of solutions of mildly degenerate Kirchhoff equations with nonlinear dissipative term.Funkc. Ekvacioj, Ser. Int. 44 (2001), 309-333 French. Zbl 1145.35432, MR 1865394; reference:[2] Autuori, G., Pucci, P.: Asymptotic stability for Kirchhoff systems in variable exponent Sobolev spaces.Complex Var. Elliptic Equ. 56 (2011), 715-753. Zbl 1230.35018, MR 2832211; reference:[3] Autuori, G., Pucci, P.: Local asymptotic stability for polyharmonic Kirchhoff systems.Appl. Anal. 90 (2011), 493-514. Zbl 1223.35051, MR 2780908, 10.1080/00036811.2010.483433; reference:[4] Autuori, G., Pucci, P., Salvatori, M. C.: Asymptotic stability for anisotropic Kirchhoff systems.J. Math. Anal. Appl. 352 (2009), 149-165. Zbl 1175.35013, MR 2499894, 10.1016/j.jmaa.2008.04.066; reference:[5] Autuori, G., Pucci, P., Salvatori, M. C.: Asymptotic stability for nonlinear Kirchhoff systems.Nonlinear Anal., Real World Appl. 10 (2009), 889-909. Zbl 1167.35314, MR 2474268, 10.1016/j.nonrwa.2007.11.011; reference:[6] D'Ancona, P., Spagnolo, S.: Nonlinear perturbations of the Kirchhoff equation.Commun. Pure Appl. Math. 47 (1994), 1005-1029. Zbl 0807.35093, MR 1283880, 10.1002/cpa.3160470705; reference:[7] Gorain, G. C.: Boundary stabilization of nonlinear vibrations of a flexible structure in a bounded domain in $R^n$.J. Math. Anal. Appl. 319 (2006), 635-650. MR 2227928, 10.1016/j.jmaa.2005.06.031; reference:[8] Gorain, G. C.: Exponential energy decay estimates for the solutions of $n$-dimensional Kirchhoff type wave equation.Appl. Math. Comput. 177 (2006), 235-242. Zbl 1098.74024, MR 2234515, 10.1016/j.amc.2005.11.003; reference:[9] Komornik, V., Zuazua, E.: A direct method for the boundary stabilization of the wave equation.J. Math. Pures Appl., IX. Sér. 69 (1990), 33-54. Zbl 0636.93064, MR 1054123; reference:[10] Lasiecka, I., Ong, J.: Global solvability and uniform decays of solutions to quasilinear equation with nonlinear boundary dissipation.Commun. Partial Differ. Equations 24 (1999), 2069-2107. Zbl 0936.35031, MR 1720766, 10.1080/03605309908821495; reference:[11] Menzala, G. P.: On classical solutions of a quasilinear hyperbolic equation.Nonlinear Anal., Theory Methods Appl. 3 (1979), 613-627. Zbl 0419.35062, MR 0541872, 10.1016/0362-546X(79)90090-7; reference:[12] Mitrinović, D. S., Pečarić, J. E., Fink, A. M.: Inequalities Involving Functions and Their Integrals and Derivatives.Mathematics and Its Applications: East European Series 53 Kluwer Academic Publishers, Dordrecht (1991). Zbl 0744.26011, MR 1190927; reference:[13] Nandi, P. K., Gorain, G. C., Kar, S.: Uniform exponential stabilization for flexural vibrations of a solar panel.Appl. Math. (Irvine) 2 (2011), 661-665. MR 2910175, 10.4236/am.2011.26087; reference:[14] Narasimha, R.: Non-linear vibration of an elastic string.J. Sound Vib. 8 (1968), 134-146. Zbl 0164.26701, 10.1016/0022-460X(68)90200-9; reference:[15] Nayfeh, A. H., Mook, D. T.: Nonlinear Oscillations.Pure and Applied Mathematics. A Wiley-Interscience Publication John Wiley & Sons, New York (1979). Zbl 0418.70001, MR 0549322; reference:[16] Newman, W. G.: Global solution of a nonlinear string equation.J. Math. Anal. Appl. 192 (1995), 689-704. Zbl 0837.35095, MR 1336472, 10.1006/jmaa.1995.1198; reference:[17] Nishihara, K.: On a global solution of some quasilinear hyperbolic equation.Tokyo J. Math. 7 (1984), 437-459. Zbl 0586.35059, MR 0776949, 10.3836/tjm/1270151737; reference:[18] Nishihara, K., Yamada, Y.: On global solutions of some degenerate quasilinear hyperbolic equations with dissipative terms.Funkc. Ekvacioj, Ser. Int. 33 (1990), 151-159. Zbl 0715.35053, MR 1065473; reference:[19] Ono, K.: Global existence, decay, and blowup of solutions for some mildly degenerate nonlinear Kirchhoff strings.J. Differ. Equations 137 (1997), 273-301. Zbl 0879.35110, MR 1456598, 10.1006/jdeq.1997.3263; reference:[20] Ono, K., Nishihara, K.: On a nonlinear degenerate integro-differential equation of hyperbolic type with a strong dissipation.Adv. Math. Sci. Appl. 5 (1995), 457-476. Zbl 0842.45005, MR 1361000; reference:[21] Shahruz, S. M.: Bounded-input bounded-output stability of a damped nonlinear string.IEEE Trans. Autom. Control 41 (1996), 1179-1182. Zbl 0863.93076, MR 1407204, 10.1109/9.533679; reference:[22] Yamazaki, T.: Global solvability for the Kirchhoff equations in exterior domains of dimension larger than three.Math. Methods Appl. Sci. 27 (2004), 1893-1916. Zbl 1072.35559, MR 2092828, 10.1002/mma.530; reference:[23] Yamazaki, T.: Global solvability for the Kirchhoff equations in exterior domains of dimension three.J. Differ. Equations 210 (2005), 290-316. Zbl 1062.35045, MR 2119986, 10.1016/j.jde.2004.10.012; reference:[24] Ye, Y.: On the exponential decay of solutions for some Kirchhoff-type modelling equations with strong dissipation.Applied Mathematics 1 (2010), 529-533. 10.4236/am.2010.16070

الإتاحة: https://doi.org/10.1007/s10492-014-0050-xTest
http://hdl.handle.net/10338.dmlcz/143630Test

المؤلفون: Chattopadhyay, S., Kar, S.

مصطلحات موضوعية: keyword:$\Gamma $-semigroup, keyword:uniformly strongly prime ideal, keyword:Noetherian $\Gamma $-semigroup, keyword:hull-kernel topology, keyword:structure space, msc:20M17

وصف الملف: application/pdf

العلاقة: mr:MR2482715; zbl:Zbl 1170.20039; reference:[1] Adhikari M. R., Das M. K.: Structure Spaces of Semirings.Bull. Cal. Math. Soc. 86 (1994), 313–317. Zbl 0821.16046, MR 1326227; reference:[2] Dutta T. K., Chattopadhyay S.: On uniformly strongly prime $\Gamma $-semigroup.Analele Stiintifice Ale Universitatii “AL. I. CUZA” IASI Tomul LII, s.I, Math., 2006, f.2, 325–335. Zbl 1132.20041, MR 2341098; reference:[3] Dutta T. K., Chattopadhyay S.: On Uniformly strongly prime $\Gamma $-semigroup (2).Accepted.; reference:[4] Gillman L.: Rings with Hausdorff structure space.Fund. Math. 45 (1957), 1–16. MR 0092773; reference:[5] Chattopadhyay S.: Right Orthodox $\Gamma $-semigroup.Southeast Asian Bull. of Mathematics 29 (2005), 23–30. Zbl 1066.20066, MR 2125891; reference:[6] Chattopadhyay S.: Right inverse $\Gamma $-semigroup.Bull. Cal. Math. Soc 93, 6 (2001), 435–442. Zbl 1002.20042, MR 1908897; reference:[7] Kohls C. W.: The space of prime ideals of a ring.Fund. Math. 45 (1957), 17–27. Zbl 0079.26302, MR 0100610; reference:[8] Saha N. K.: On $\Gamma $-semigroup III.Bull. Cal. Math. Soc. 80 (1988), 1–12. Zbl 0652.20061, MR 0956997; reference:[9] Sen M. K., Saha N. K.: On $\Gamma $-semigroup I.Bull. Cal. Math. Soc. 78 (1986), 180–186. Zbl 0601.20063, MR 0851844; reference:[10] Sen M. K., Chattopadhyay S.: Semidirect Product of a Monoid and a $\Gamma $-semigroup.East-West J. of Math. 6, 2 (2004), 131–138. Zbl 1098.20052, MR 2225411

الإتاحة: http://hdl.handle.net/10338.dmlcz/133402Test

المؤلفون: Shum, Kar-Ping

مصطلحات موضوعية: msc:20M10, msc:22A15

وصف الملف: application/pdf

العلاقة: mr:MR0427527; zbl:Zbl 0356.22003; reference:[1] CHOW H. L.: On weakly normal semigroaps.Submitted.; reference:[2] FAUCETTS W. M., KOCH, R J., NUMAKURA K.: Complements of maximal ideal in compact semigroups.Duke Math J 22 1955, 655-661. MR 0072425; reference:[3] FULP R.: Generalized semigroup kernels.Pacif. J. Math. 24, 1968, 93- 101. Zbl 0165.03501, MR 0222195; reference:[4] GRILLET P. A.: Intersection of maximal ideals in semigroups.Amer. Math. Monthly 76, 1969, 503-509. MR 0248254; reference:[5] KOCH R. J.: Remarks on primitive idempotents in compact semigroups with zero.Proc. Amer. Math. Soc. 5, 1954, 828-833. Zbl 0056.02704, MR 0065569; reference:[6] KOCH R. J., WALLACE A. D.: Maximal ideals in compact semigroups.Duke Math J. 21, 1954, 681-685. Zbl 0057.01502, MR 0063381; reference:[7] KUCZKOWSKI J. E.: On the Frattini ideal in a certain class of semigroups.Mat. Čas. 22, 1972, 3-5. Zbl 0242.20064, MR 0304519; reference:[8] NUMAKURA K.: Prime ideals and idempotents in compact mobs.Duke Math. J. 24, 1957, 671-680. MR 0091426; reference:[9] PAALMAN de-MIRANDA A. B.: Topological semigroups.Mathematisch Centrum. Amsterdam, 1964. Zbl 0136.26904, MR 0167963; reference:[10] SCHWARZ S.: Prime ideals and maximal ideals in semigroups.Czech. Math. J. 19, 1969, 72-79. Zbl 0176.29503, MR 0237680; reference:[11] SHUM K. P., HOO C. S.: On nilpotent elements of semigroups.Colloq. Math. 25, 1972, 211-223. MR 0325838; reference:[12] SHUM K. P., STEWART P. N.: Completely prime ideals and idempotents in mobs.Submitted to Czech. Math. J. Zbl 0339.22002; reference:[13] SHUM K. P.: On compressed ideals in topological semigroups.Czech. Math. J. 25, 100, 1975, 261-273. MR 0369602; reference:[14] SHUM K. P., HOO C. S.: On compact N-semigroups.Czech. Math. J. 24, 99, 1974, 552-562. Zbl 0332.22003, MR 0374321

الإتاحة: http://hdl.handle.net/10338.dmlcz/128994Test

المؤلفون: Lai, C. K., Shum, Kar-Ping

مصطلحات موضوعية: msc:20M12

وصف الملف: application/pdf

العلاقة: mr:MR1017989; zbl:Zbl 0698.20052; reference:[1] A. H. Clifford G. B. Preston: The algebraic theory of semigroups II.Amer.Math. Soc., Providence, (1967). MR 0218472; reference:[2] L. Márki: Structure theorems on certain regular and inverse semigroups.Czechoslovak Math. J. 27 (1977), 388-393. MR 0444816; reference:[3] Št. Schwarz: On dual semigroups.Czechoslovak Math. J. 10 (1960), 201-230. Zbl 0098.01602, MR 0117294; reference:[4] Št. Schwarz: On the structure of dual semigroups.Czechoslovak Math. J. 21 (1971), 461-483. Zbl 0232.20116, MR 0292982; reference:[5] Št. Schwarz: Prime ideals and maximal ideals in semigroups.Czechoslovak Math. J. 19 (1969),72-79. Zbl 0176.29503, MR 0237680; reference:[6] Št. Schwarz: Any $0$-simple dual semigroup is completely $0$-simple.semigroup forum 2 (1971), 90-92. MR 0281819; reference:[7] O. Steinfeld: A characterization of dual semigroups without nilpotent ideals.Semigroup Forum 14 (1977), 1-5. Zbl 0393.20045, MR 0442123, 10.1007/BF02194649; reference:[8] O. Steinfeld: Quasi-ideals in Rings and Semigroups.Akademiai Kiado Budapest, (1978). Zbl 0403.16001, MR 0521258

الإتاحة: https://doi.org/10.21136/CMJ.1989.102330Test
http://hdl.handle.net/10338.dmlcz/102330Test

المؤلفون: Shum, Kar-Ping

مصطلحات موضوعية: msc:22A15

وصف الملف: application/pdf

العلاقة: mr:MR764442; zbl:Zbl 0579.22005; reference:[1] Fnip R.: Generalized semigroup kernels.Pacific Jour. Math. 24 (1968), p. 93-101. MR 0222195, 10.2140/pjm.1968.24.93; reference:[2] Hofmann K. H., Mostert P. S.: Elements of compact semigroups.Charles E. Merrill Books, Inc., Columbus, Ohio, (1966). Zbl 0161.01901, MR 0209387; reference:[3] Howie J. M.: An introduction to semigroup theory.Academic Press (1976). Zbl 0355.20056, MR 0466355; reference:[4] Koch R. J, and Wallace A. D.: Maximal ideals in compact semigroups.Duke Math. Jour. 21 (1954), p. 681-686. MR 0063381, 10.1215/S0012-7094-54-02170-5; reference:[5] Numakura K.: Prime ideals and idempotents in compact semigroups.Duke Math. Jour. 24 (1957), p. 671-680. Zbl 0218.22004, MR 0091426, 10.1215/S0012-7094-57-02475-4; reference:[6] Satyanarayana M.: On generalized kernels.Semigroup Forum 12 (1976), p. 283-292. Zbl 0344.20048, MR 0414758, 10.1007/BF02195935; reference:[7] Schwarz Š.: Prime ideals and maximal ideals in semigroups.Czechoslovak Math. Jour. 24 (1968), p. 93-101. MR 0237680; reference:[8] Schwarz Š.: K teorii Chausdorfovych bikompaktnych polugrupp.Czechoslovak Math. Journ. 5 (1955), p. 1-23. MR 0074769; reference:[9] Shunt K. P., Hung С. Y.: Topological radicals in topological semigroups.Publ. Math. Debrecen, 29 (1982), p. 265-274. MR 0678902; reference:[10] Van der Waerden: Moderne Algebra., Springer-Verlag, Berlin, 1931. Zbl 0002.00804

الإتاحة: https://doi.org/10.21136/CMJ.1984.101986Test
http://hdl.handle.net/10338.dmlcz/101986Test

المؤلفون: Shum, Kar-Ping

مصطلحات موضوعية: msc:22A15

وصف الملف: application/pdf

العلاقة: mr:MR731986; zbl:Zbl 0546.22005; reference:[1] A. H. Clifford, G. B. Preston: The algebraic theory of semigroups.vol. I, Amer. Math. Soc., Providence, R.I. (1961). Zbl 0111.03403, MR 0132791; reference:[2] K. Numakura: Prime ideals and idempotents in compact semigroups.Duke Math. J. 24 (1957), p. 671-680. Zbl 0218.22004, MR 0091426, 10.1215/S0012-7094-57-02475-4; reference:[3] K. Numakura: On q-ideals in compact semigroups.Czechoslovak Math. J. 24 (103), (1978), p. 312 - 323. Zbl 0394.22004, MR 0470135; reference:[4] K. Numakura: Closedness of q-ideals in a compact and totally disconnected semigroups.Proc. Japan Acad., 54, (1978), p. 239-242. MR 0517329; reference:[5] M. Petrich: Introduction to semigroups.Merrill Research and Lecture Notes, A. Bell& Howell Co. (1973). Zbl 0321.20037, MR 0393206; reference:[6] Š. Schwarz: Prime ideals and maximal ideals in Semigroups.Czechoslovak Math. J. 19 (1969), p. 72-79. Zbl 0176.29503, MR 0237680; reference:[7] Š. Schwarz: Semigroups containing Maximal ideals.Math. Slovaca 28 (1978), p. 157-168. Zbl 0378.20047, MR 0526854; reference:[8] K. P. Shum C. S. Hoo: On compact N-semigroups.Czechoslovak Math. J. 24 (99), (1974), p. 552-562. MR 0374321; reference:[9] K. P. Shum P. N. Stewart: Completely prime ideals and idempotents in mobs.Czechoslovak Math. J. 26 (101), (1976), p. 211-217. MR 0492048; reference:[10] K. P. Shum: Group ideals in a semigroup of measures.Semigroup Forum 22 (1981), p. 325-329. Zbl 0472.28005, MR 0619188, 10.1007/BF02572811; reference:[11] K. P. Shum: On compressed ideals in topological semigroups.Czechoslovak Math. J. 25 (100), (1975), p. 261-273. Zbl 0316.22004, MR 0369602; reference:[12] F. Sioson: Ideals in (m + 1)-semigroups.Annali di Math. Рuга et appl., 68, (1965), p. 161-200. Zbl 0135.03502, MR 0181686

الإتاحة: https://doi.org/10.21136/CMJ.1984.101932Test
http://hdl.handle.net/10338.dmlcz/101932Test

المؤلفون: Shum, Kar-Ping

مصطلحات موضوعية: msc:22A15

وصف الملف: application/pdf

العلاقة: mr:MR0424999; zbl:Zbl 0338.22004

الإتاحة: https://doi.org/10.21136/CMJ.1976.101422Test
http://hdl.handle.net/10338.dmlcz/101422Test

المؤلفون: Shum, Kar-Ping, Stewart, Patrick N.

مصطلحات موضوعية: msc:22A15

وصف الملف: application/pdf

العلاقة: mr:MR0492048; zbl:Zbl 0339.22002; reference:[1] D. H. Adams: Semigroups with no non-zero nilpotent elements.Math. Z. 123 (1971), 168-176. Zbl 0212.35803, MR 0289685, 10.1007/BF01110115; reference:[2] W. H. Cornish: Subdirectly irreducible semirings and semigroups without nonzero nilpotents.Canad. Math. Bull. 16 (1973), 45-47. Zbl 0271.16021, MR 0321982, 10.4153/CMB-1973-010-4; reference:[3] W. M. Faucett R. J. Koch, K. Numakura: Complements of maximal ideals in compact semigroups.Duke Math. J. 22 (1955), 655-661. MR 0072425, 10.1215/S0012-7094-55-02270-5; reference:[4] R. J. Koch: Remarks on primitive idempotents in compact semigroups with zero.Proc. Amer. Math. Soc. 5 (1954), 828-833. Zbl 0056.02704, MR 0065569, 10.1090/S0002-9939-1954-0065569-X; reference:[5] R. J. Koch, A. D. Wallace: Maximal ideals in compact semigroups.Duke Math. J. 21 (1954), 681-685. Zbl 0057.01502, MR 0063381, 10.1215/S0012-7094-54-02170-5; reference:[6] K. Iséki: On ideals in semirings.Proc. Japan Acad. 34 (1958), 501 - 509. MR 0095870; reference:[7] K. Numakura: Prime ideals and idempotents in compact semigroups.Duke Math. J. 24 (1957), 671-680. Zbl 0218.22004, MR 0091426, 10.1215/S0012-7094-57-02475-4; reference:[8] A. B. Paalman-de Miranda: Topological Semigroups.second edition. Mathematisch Centrum, Amsterdam, 1970. Zbl 0242.22003; reference:[9] Št. Schwarz: Prime ideals and maximal ideals in semigroups.Czech. Math. J. 19 (1969), 72-79. Zbl 0176.29503, MR 0237680; reference:[10] K. P. Shum, С. S. Ноо: On nilpotent elements of semigroups.Colloquium Math. 25 (1972), 211-224. MR 0325838, 10.4064/cm-25-2-211-224; reference:[11] K. P. Shum: On compressed ideals in topological semigroups.Czech. Math. J. 25 (100), (1975), 261-273. Zbl 0316.22004, MR 0369602; reference:[12] K. P. Shum: On the boundary of algebraic radical of ideals in topological semigroups.Acta Math. Sci. Hung. 25 (1974), 15-19. MR 0376947, 10.1007/BF01901741

الإتاحة: https://doi.org/10.21136/CMJ.1976.101392Test
http://hdl.handle.net/10338.dmlcz/101392Test

المؤلفون: Shum, Kar-Ping

مصطلحات موضوعية: msc:22A15

وصف الملف: application/pdf

العلاقة: mr:MR0369602; zbl:Zbl 0316.22004; reference:[1] V. Y. Andrunakievic, Ju. M. Rjabuhin: Rings with nilpotent elements and completely simple ideals.Soviet Math. Dokl. Vol. 9 (1968), No. 3 p. 565-568.; reference:[2] W. H. Cornish, P. N. Stewart: Rings with no nilpotent elements with the maximum condition on annihilators.(To appear in Canadian Math. Bulletin.) MR 0352167; reference:[3] W. J. Faucett R. J. Koch, K. Numakura: Complements of maximal ideals in compact semigroups.Duke Math. Journal 22 (1955), pp. 655-661. MR 0072425, 10.1215/S0012-7094-55-02270-5; reference:[4] С. S. Ноо, K. P. Shum: On algebraic radicals in mobs.Colloquim Math. Vol. 25 (1972), p. 25-35. Zbl 0236.22004, MR 0302813, 10.4064/cm-25-1-25-35; reference:[5] K. Iseki: On ideals in semiring.Proc. Japan Acad. 34 (1958), No. 8, p. 507-509. Zbl 0085.02101, MR 0100041; reference:[6] J. Kist: Minimal prime ideals in commutative semigroups.Proc. London Math. Soc. (3) 75 (1963), p. 31-50. Zbl 0108.04004, MR 0143837; reference:[7] N. H. McCoy: The theory of rings.Macmillan Company, New York (1964). Zbl 0121.03803, MR 0188241; reference:[8] K. Numakura: Prime ideals and idempotents in compact semigroups.Duke Math. Journal 24 (1957), p. 671-679. Zbl 0218.22004, MR 0091426, 10.1215/S0012-7094-57-02475-4; reference:[9] A. B. Paalman, de Miranda: Topological semigroups.Mathematisch Centrum, Amsterdam 1964. Zbl 0136.26904, MR 0167963; reference:[10] Š. Schwarz: On dual semigroups.Czech. Math. Journal 10 (1960), p. 201 - 230. Zbl 0098.01602, MR 0117294; reference:[11] Š. Schwarz: Prime ideals and maximal ideals in semigroups.Czech. Math. Journal 19 (1969), p. 72-79. Zbl 0176.29503, MR 0237680; reference:[12] K. P. Shum, С. S. Ноо: On compact N-semigroups.submitted to Czech. Math. Journal. Zbl 0332.22003; reference:[13] K. P. Shum: On the boundary of algebraic radical of ideals in topological semigroups.(To appear in Acta Math. Hung.); reference:[14] G. Thierrin: Sur les idéaux complement premiers d'un anneau quelconque.Bull. Acad. Royale Belgique, 43 (1957) p. 124-132. MR 0087639; reference:[15] A. D. Wallace: Lecture notes on semigroups.Tulane University, 1956.

الإتاحة: https://doi.org/10.21136/CMJ.1975.101316Test
http://hdl.handle.net/10338.dmlcz/101316Test