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
收藏
页码：1982 / 1996
页数：15
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