التفاصيل البيبلوغرافية
العنوان: |
Congruences on Nilpotent-generated Partial Transformation Semigroups. |
المؤلفون: |
Marques-Smith, M. Paula O.1 psmith@math.uminho.pt, Sullivan, R. P.2 bob@maths.uwa.edu.au |
المصدر: |
Algebra Colloquium. Jun2009, Vol. 16 Issue 2, p229-242. 14p. |
مصطلحات موضوعية: |
*GEOMETRIC congruences, *NILPOTENT groups, *MATHEMATICAL transformations, *SEMIGROUPS (Algebra), *INTEGRAL theorems |
مستخلص: |
In 1987, Sullivan characterised the elements of the semigroup NP(X) generated by the nilpotents in P(X), the semigroup (under composition) consisting of all partial transformations of a set X; and in 1999, Marques-Smith and Sullivan determined all the ideals of NP(X) for arbitrary X. In this paper, we use that work to describe all the congruences on NP(X). [ABSTRACT FROM AUTHOR] |
قاعدة البيانات: |
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