首页 | 本学科首页   官方微博 | 高级检索  
     检索      

分配半环上的可除半环同余
引用本文: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.
作者姓名:李善海  李师正
作者单位:1.Department of Mathematics,Shanghai Jiaotong University,Shanghai 200240,China; 2.Department of Mathematics,Shandong Normal University,Jinan 250014,China
摘    要:§ 1. Introduction  AsemiringSisanalgebraicsystem (S ,+ ,·)consistingofanon_emptysetStogetherwithtwobinaryoperations +and·onSsuchthat (S ,+ )and (S ,·)aresemigrolupscon nectedbyring_likedistributivity .AsemiringSiscalleddistributiveifinStheadditionisdis tributiveaboutmultiplication ,i.e .ab+c=(a+c) (b +c)anda+bc=(a +b) (a+c)holdforalla ,b ,c∈S .AsemiringSiscalleddivisibleif(S ,·)isagroup .AnequivalencerelationρonasemiringSiscalledacongruenceonS ,iffρisacongruenceon (S ,+ )and (…

关 键 词:可除半环  同余式  乘法迹  单射

Divisible Semiring Congruences on Distributive Semiring
LIShan-hai LIShi-zheng.Divisible Semiring Congruences on Distributive Semiring[J].Chinese Quarterly Journal of Mathematics,2003,18(4):406-409.
Authors:LIShan-hai LIShi-zheng
Institution:[1]DepartmentofMathematics,ShanghaiJiaotongUniversity,Shanghai200240 [2]DepartmentofMathematics,ShandongNormalUniversity,Jinan250014,China
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-oonjagate, ideal subsemirings of S to the set of all divisible semiring congruences on S.
Keywords:semiring  divisible semiring  distributive semiring  semiring congruence  divisible semiring congruence
本文献已被 CNKI 维普 万方数据 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号