MORITA EQUIVALENCE OF SEMIGROUPS WITH LOCALLY COMMUTING IDEMPOTENTS

被引：2

作者：

Afara, B. ^{[1
]}

Lawson, M. V. ^{[1
,2
]}

机构：

[1] Heriot Watt Univ, Dept Math, Edinburgh EH14 4AS, Midlothian, Scotland

[2] Heriot Watt Univ, Maxwell Inst Math Sci, Edinburgh EH14 4AS, Midlothian, Scotland

来源：

COMMUNICATIONS IN ALGEBRA | 2012年 / 40卷 / 06期

关键词：

Commuting idempotents; Inverse categories; Morita theory; Semigroups; REES MATRIX COVERS; REGULAR-SEMIGROUPS; INVERSE-SEMIGROUPS; ENLARGEMENTS;

D O I：

10.1080/00927872.2011.569904

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We characterize those semigroups with local units which are Morita equivalent to semigroups with local units having commuting idempotents. A key element in this characterization is a description of those inverse categories which are equivalent to Cauchy completions of inverse semigroups.

引用

页码：1982 / 1996

页数：15

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