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.

引用

页数：23

共 50 条

[1] Matrix representations of right ample semigroups
Guo, Junying
Guo, Xiaojiang
Shum, K. P.
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2015, 8 (03)
[2] Ample semigroups and Frobenius algebras
Guo, Xiaojiang
Shum, K. P.
SEMIGROUP FORUM, 2015, 91 (01) : 213 - 223
[3] Ample semigroups and Frobenius algebras
Xiaojiang Guo
K. P. Shum
Semigroup Forum, 2015, 91 : 213 - 223
[4] Σ-Functions of the Categories of Matrix Representations of Nilpotent Semigroups
Bondarenko V.M.
Zubaruk O.V.
Journal of Mathematical Sciences, 2024, 282 (5) : 601 - 615
[5] Algebras of right ample semigroups
Guo, Junying
Guo, Xiaojiang
OPEN MATHEMATICS, 2018, 16 : 842 - 861
[6] Semigroup algebras of finite ample semigroups
Guo, Xiaojiang
Chen, Lin
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2012, 142 (02) : 371 - 389
[7] Proper Covers for Left Ample Semigroups
Abdulsalaam El Qallali
John Fountain
Semigroup Forum, 2005, 71 : 411 - 427
[8] Algebras of reduced E-Fountain semigroups and the generalized ample identity II
Stein, Itamar
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2025, 24 (03)
[9] Algebras of reduced E-Fountain semigroups and the generalized ample identity II
Stein, Itamar
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2023,
[10] Algebras of Ample Semigroups Each ofWhose J*-Class Contains a Finite Number of Idempotents
Guo, Xiaojiang
Shum, K. P.
SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2015, 39 (03) : 377 - 405

← 1 2 3 4 5 →