可分解的正则*–半群
On Factorizable Regular*-Semigroups
DOI: 10.12677/PM.2023.137199, PDF,   
作者: 王钰鑫：云南师范大学数学学院，云南 昆明
关键词: 正则*–半群；可分解；半直积；Regular*-Semigroup； Factorizable； Semidirect Product
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。
Abstract: 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.
文章引用：王钰鑫. 可分解的正则*–半群[J]. 理论数学, 2023, 13(7): 1938-1945. https://doi.org/10.12677/PM.2023.137199

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