K-正则和 K-反演半群  

K-Regular and K-Inversive Semigroups

作　　者：尹碟 龚晓倩 

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》2024年第5期599-604,共6页Pure Mathematics

摘　　要：格林关系在半群理论的发展中发挥着根本性作用。本文主要对几类由格林关系所确定的K-正则和K-反演半群进行了研究。首先介绍了K-正则和K-反演半群的相关概念,其次利用格林关系对K-正则半群进行了完整的刻画,同时也给出了两类特殊的K-反演半群的刻画,最后提出了刻画其他K-反演半群等相关问题。Green’s relation plays a fundamental role in the development of semigroup theory. In this paper, several classes ofK-regular andK-inversive semigroups determined by Green’s relation are studied. Firstly, the related concepts ofK-regular andK-inversive semigroups are introduced. Secondly, a complete description ofK-regular semigroups is given by using Green’s relation. At the same time, two kinds of specialK-inversive semigroups are described. Finally, some related problems such as characterization of otherK-inversive semigroups are presented.

关 键 词：-正则半群 -反演半群 格林关系 

分 类 号：O15[理学—数学]