WEAKLY REDUCTIVE SEMIGROUPS WITH ATOMISTIC CONGRUENCE LATTICES

被引：4
|
作者：
AUINGER, K
机构：
[1] Institut für Mathematik, Universität Wien
来源：
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS | 1990年 / 49卷
关键词：
D O I：
10.1017/S144678870003024X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The structure of semigroups with atomistic congruence lattices (that is, each congruence is the supremum of the atoms it contains) is studied. For the weakly reductive case the problem of describing the structure of such semigroups is solved up to simple and congruence free semigroups, respectively. As applications, all commutative, finite, completely semisimple semigroups, respectively, with atomistic congruence lattices are described. © 1990, Australian Mathematical Society. All rights reserved.
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页码：59 / 71
页数：13
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