التفاصيل البيبلوغرافية
| العنوان: |
Factorisable Semigroups of Linear Transformations. |
| المؤلفون: |
Ittharat, Jirasook1, Sullivan, R. P.2 bob@maths.uwa.edu.au, Shum, K. P. |
| المصدر: |
Algebra Colloquium. Jun2006, Vol. 13 Issue 2, p295-306. 12p. |
| مصطلحات موضوعية: |
*FACTORIZATION, *FACTORS (Algebra), *SEMIGROUPS (Algebra), *GROUP theory, *TRANSFORMATION groups, *MATHEMATICAL transformations, *VECTOR spaces |
| مستخلص: |
Let P(X) be the semigroup of all partial transformations of a set X. A subsemigroup S of P(X) is factorisable if S = GE = EH, where G, H are subgroups of S and E is the set of idempotents in S. In 2001, Jampachon, Saichalee and Sullivan proved a simple result that generalized most of the previous work on factorisable subsemigroups of P(X). They also determined when the semigroup T(V) of all linear transformations of a vector space V is factorisable. In this paper, we extend that work to partial linear transformations of V and consider the notion of locally factorisable for such semigroups. [ABSTRACT FROM AUTHOR] |
| قاعدة البيانات: |
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