Idempotent conjugacy in monoids

被引：0
|
作者：
Putcha, Mohan S. [1 ]
机构：
[1] North Carolina State Univ, Dept Math, Box 8205, Raleigh, NC 27695 USA
来源：
SEMIGROUP FORUM | 2017年 / 95卷 / 02期
关键词：
Idemotent conjugacy; Parabolic subgroups; Graham blocks; LIE TYPE; SEMIGROUPS; REPRESENTATIONS; DECOMPOSITION;
D O I：
10.1007/s00233-016-9818-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We continue the study of the local structure of monoids in which I-related idempotents are conjugate. For a regular I-class J, its Graham blocks of idempotents are determined in terms of the associated parabolic subgroups, and then necessary and sufficient conditions are found for J to be generated by its idempotents. We further introduce a generalization to include the full transformation semigroup. The local monoids and the Graham blocks are again determined.
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页码：366 / 378
页数：13
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