分配半环上的可除半环同余

数学季刊 ›› 2003, Vol. 18 ›› Issue (4): 406-409.

分配半环上的可除半环同余

1．Department of Mathematics ,Shanghai Jiaotong University ,Shanghai 200240,China；2．Department of Mathematics ,Shandong Normal University ,Jinan 250014,China

收稿日期:2002-04-01 出版日期:2003-12-30 发布日期:2024-04-03
作者简介:LI Shan-hai（1975－）,male ,native of Linyi ,Shandong ,studies in Shanghai Jiaotong University as a Ph．D . student ,engages in combinatorial theory and coding theory；LI Shi-zheng（1940－）,male ,native of Weifang ,Shandong ,a professor of Shandong Normal University ,engages in algebra .

Divisible Semiring Congruences on Distributive Semiring

1．Department of Mathematics ,Shanghai Jiaotong University ,Shanghai 200240,China；2．Department of Mathematics ,Shandong Normal University ,Jinan 250014,China

Received:2002-04-01 Online:2003-12-30 Published:2024-04-03
About author:LI Shan-hai（1975－）,male ,native of Linyi ,Shandong ,studies in Shanghai Jiaotong University as a Ph．D . student ,engages in combinatorial theory and coding theory；LI Shi-zheng（1940－）,male ,native of Weifang ,Shandong ,a professor of Shandong Normal University ,engages in algebra .

摘要/Abstract

摘要： In this paper ,we describe all the divisible semiring congruences on a distributive semiring S and also establish a one-to-one ,inclusion-preserving mapping from the set of full ,closed ,self-conja- gate ,ideal subsemirings of S to the set of all divisible semiring congruences on S .

关键词: semiring, divisible semiring, distributive semiring, semiring congruence, divisible semiring
congruence

Abstract: In this paper ,we describe all the divisible semiring congruences on a distributive semiring S and also establish a one-to-one ,inclusion-preserving mapping from the set of full ,closed ,self-conja- gate ,ideal subsemirings of S to the set of all divisible semiring congruences on S .

Key words: semiring, divisible semiring, distributive semiring, semiring congruence, divisible semiring
congruence

中图分类号:

O153．3

李善海, 李师正. 分配半环上的可除半环同余[J]. 数学季刊, 2003, 18(4): 406-409.

LI Shan-hai , LI Shi-zheng . Divisible Semiring Congruences on Distributive Semiring[J]. Chinese Quarterly Journal of Mathematics, 2003, 18(4): 406-409.

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