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
陈辉1
作者信息
- 1. 安徽商贸职业技术学院,安徽芜湖 241002
- 折叠
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.
Abstract
The L* and R* relations are utilized on abundant semigroups to obtain several properties of IC qua-si-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,pro-viding a general characterization of IC quasi-adequate semigroups with a left regular band,which improves up-on 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Key words
left regular band/abundant semigroup/quasi-adequate semigroup/IC semigroup/good congru-ence引用本文复制引用
基金项目
全国职业教育教指委重点项目(JYJZWGGK-2023A-21)
出版年
2024
NETL
NSTL
万方数据