MATRIX REPRESENTATIONS OF AMPLE SEMIGROUPS

被引：4
|
作者：
Guo, Xiaojiang [1 ]
Shum, K. P. [2 ]
机构：
[1] Jiangxi Normal Univ, Dept Math, Nanchang 330022, Jiangxi, Peoples R China
[2] Yunnan Univ, Inst Math, Kunming 650091, Yunnan, Peoples R China
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2014年 / 13卷 / 03期
关键词：
Ample semigroup; matrix representation; weak Brandt semigroup; MOBIUS FUNCTIONS; ABUNDANT; CATEGORIES; ALGEBRAS;
D O I：
10.1142/S0219498813501089
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An adequate semigroup S is said to be ample if for any e(2) = e, a is an element of S, ae = (ae)(+) a and ea = a(ea)*. It is well known that inverse semigroups are ample semigroups. The purpose of this paper is to study matrix representations of an ample semigroup. Some properties of ample semigroups are obtained. It is proved that any indecomposable good matrix representations of an ample semigroup can be constructed by using those of weak Brandt semigroups.
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页数：23
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