带有左正则带的IC拟适当半群研究  

Study on IC quasi-adequate semigroups with a left regular band

作　　者：陈辉[1] CHEN Hui(Anhui Business College,Wuhu 241002,China)

机构地区：[1]安徽商贸职业技术学院,安徽芜湖241002

出　　处：《安徽水利水电职业技术学院学报》2024年第3期68-73,共6页Journal of Anhui Technical College of Water Resources and Hydroelectric Power

基　　金：全国职业教育教指委重点项目(JYJZWGGK-2023A-21)。

摘　　要：文章利用富足半群上的L^(*)和R^(*)关系,得到了带有左正则带的IC拟适当半群的若干性质,特别是研究了幂等元导出的一类自同态映射。构造了半群上的一类好同余,将商半群简化为型-A半群,组建了一种具有半直积结构的AGC-系统,以此给出了带有左正则带的IC拟适当半群的一般刻画,改进了现有文献的部分结果。The L^(*) and R^(*) relations are utilized on abundant semigroups to obtain several properties of IC quasi-adequate semigroups with a left regular band.In particular,a class of self-homomorphisms derived from idempotent elements is studied.A class of good congruences on the semigroup is constructed,simplifying the quotient semigroup to a type-A semigroup.An AGC-system with a semi-direct product structure is formed,providing a general characterization of IC quasi-adequate semigroups with a left regular band,which improves upon some results in existing literature.

关 键 词：左正则带 富足半群 拟适当半群 IC半群 好同余 

分 类 号：O15[理学—数学]