Classification of finite congruence-simple semirings with zero

被引：38

作者：

Zumbragel, Jens ^{[1
]}

机构：

[1] Univ Zurich, Inst Math, CH-8057 Zurich, Switzerland

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2008年 / 7卷 / 03期

关键词：

semirings; lattices; endomorphism semirings; semimodules;

D O I：

10.1142/S0219498808002862

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Our main result states that a finite semiring of order > 2 with zero which is not a ring is congruence-simple if and only if it is isomorphic to a "dense" subsemiring of the endomorphism semiring of a finite idempotent commutative monoid. We also investigate those subsemirings further, addressing e. g. the question of isomorphy.

引用

页码：363 / 377

页数：15

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