乘法正则半环的次直积分解  

Subdirect product decompositions of multiplicatively regular semirings

作　　者：陶炳辉 邵勇 TAO Bing-hui;SHAO Yong(School of Mathematics,Northwest University,Xi'an 710127,Shaanxi,China)

机构地区：[1]西北大学数学学院,陕西西安710127

出　　处：《西北师范大学学报(自然科学版)》2025年第2期35-39,共5页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(11971383);重庆市自然科学基金资助项目(cstc2020jcyj-msxm X0272);陕西数理基础科学研究项目(22JSY023)。

摘　　要：研究乘法正则半环上的二元关系,借助这些关系的开同余构造了广义因子同余对,给出了乘法正则半环的次直积分解定理.特别地,得到了乘法幂等元半环的次直积分解,并刻画了乘法幂等元半环簇的一些子簇.Some binary relations on multiplicatively regular semirings are studied,and the generalized factor congruence pairs are constructed by means of the open congruence of these relations.The subdirect product decomposition theorem of multiplicatively regular semirings is given.In particular,the subdirect product decomposition of multiplicatively idempotent semirings is obtained,and some subvarieties of multiplicatively idempotent semiring variety are described.

关 键 词：半环 开同余 簇 格林关系 次直积 

分 类 号：O151.21[理学—数学]