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

页码：1551 / 1569

页数：19

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