Ample semigroups and Frobenius algebras

被引：12

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：

基金：

中国国家自然科学基金;

关键词：

Ample semigroup; Semigroup algebra; Right (left) self-injective algebra; Frobenius algebra;

D O I：

10.1007/s00233-015-9726-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the semigroup algebra of an ample semigroup over a field is Frobenius if and only if is a finite inverse semigroup.

引用

页码：213 / 223

页数：11

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