%0 Journal Article
%T <math display='inline' xmlns='http://www.w3.org/1998/Math/MathML'> <mi mathvariant='script'>K</mi></math>-正则和<math display='inline' xmlns='http://www.w3.org/1998/Math/MathML'> <mi mathvariant='script'>K</mi></math>-反演半群<br><math display='inline' xmlns='http://www.w3.org/1998/Math/MathML'> <mi mathvariant='script'>K</mi></math>-Regular and <math display='inline' xmlns='http://www.w3.org/1998/Math/MathML'> <mi mathvariant='script'>K</mi></math>-Inversive Semigroups
%A 尹碟
%A 龚晓倩
%J Pure Mathematics
%P 599-604
%@ 2160-7605
%D 2024
%I Hans Publishing
%R 10.12677/pm.2024.145213
%X 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。<br />
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.
%K -正则半群，-反演半群，格林关系<br>-Regular Semigroup
%K -Inversive Semigroup
%K Green Relation
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=88730