Semigroups of transformations commuting with injective nilpotents

被引：4
|
作者：
Konieczny, J [1 ]
机构：
[1] Mary Washington Coll, Dept Math, Fredericksburg, VA 22401 USA
来源：
COMMUNICATIONS IN ALGEBRA | 2004年 / 32卷 / 04期
关键词：
partial transformation; injective nilpotent; centralizer;
D O I：
10.1081/AGB-120028798
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For an injective nilpotent eta in the semigroup PTn of partial transformations on a set with n elements, let C(eta) be the semigroup of all elements of PTn commuting with eta. The structure of C(eta) in terms of Green's relations is determined (including the partial orders of L-, R-, and J-classes), the regular elements of C(eta) are characterized, and a formula for the order of C(eta) is given.
引用
收藏
页码：1551 / 1569
页数：19
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