On finite congruence-simple semirings

被引：33
|
作者：
Monico, C [1 ]
机构：
[1] Texas Tech Univ, Dept Math & Stat, Lubbock, TX 79409 USA
来源：
JOURNAL OF ALGEBRA | 2004年 / 271卷 / 02期
基金：
美国国家科学基金会;
关键词：
semirings; congruence simple; congruence free;
D O I：
10.1016/j.jalgebra.2003.09.034
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we describe finite, additively commutative, congruence simple semirings. The main result is that the only such semirings are those of order 2, zero-multiplication rings of prime order, matrix rings over finite fields, ones with trivial addition, and those that are additively idempotent. (C) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码：846 / 854
页数：9
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