On uniform acts over semigroups

被引：11
|
作者：
Roueentan, Mohammad [1 ]
Sedaghatjoo, Mojtaba [2 ]
机构：
[1] Lamerd Higher Educ Ctr, Coll Engn, Lamerd, Iran
[2] Persian Gulf Univ, Dept Math, Coll Sci, Bushehr, Iran
来源：
SEMIGROUP FORUM | 2018年 / 97卷 / 02期
关键词：
Uniform; Irreducible; Subdirectly irreducible; Large; MONOIDS;
D O I：
10.1007/s00233-017-9908-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The paper is devoted to the investigation of uniform acts over semigroups perceived as an overclass of subdirectly irreducible acts. We establish conditions for a uniform act to be subdirectly irreducible. In particular, we prove that uniform acts with two zeros are subdirectly irreducible. Ultimately we investigate monoids which are uniform as right acts over themselves and we describe regular monoids with this property.
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页码：229 / 243
页数：15
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