可分解的正则*–半群  

On Factorizable Regular*-Semigroups

作　　者：王钰鑫 

机构地区：[1]云南师范大学数学学院,云南 昆明

出　　处：《理论数学》2023年第7期1938-1945,共8页Pure Mathematics

摘　　要：半群分解是一类经典的半群理论研究课题。本文主要围绕正则*–半群的可分解性进行研究。首先介绍正则*–半群及可分解的正则*–半群的相关概念,再用正则*–半带和群的半直积给出了可分解的正则*–半群和E-酉可分解的正则*–半群的刻画,推广了逆半群的相关结果。Factorization of semigroups is a classic topic in semigroup theory. Factorizable regular*-semi- groups are studied in this paper. The related concepts of regular*-semigroups and factorizable regu-lar*-semigroups are introduced, and some characterizations of factorizable regular*-semigroups and E-unitary factorizable regular*-semigroups are obtained by the semidirect products of regular*- semibands and groups. This generalizes the corresponding results of inverse semigroups.

关 键 词：正则*–半群 可分解 半直积 

分 类 号：O15[理学—数学]