理论数学

Vol.2 No.4 (October 2012)

本原可分rpp半群
Primitively Decomposable rpp Semigroups

 

作者:

邱小伟 , 郭小江 , 王军旗 , 吴 瑕 :江西师范大学,数学与信息科学学院

 

关键词:

本原可分rpp半群Rees矩阵半群Primitively Decomposable rpp Semigroups Rees Matrix Semigroups

 

摘要:

完全0-单半群是一类非常重要的正则半群,也是正则半群结构基础。本原可分rpp半群是完全0-单半群在rpp半群理论中推广。本文主要研究本原可分rpp半群,给出了这类半群的若干特征,并证明了:半群为本原可分rpp半群当且仅当它是满足一些条件的左消幺半群上的Rees矩阵半群的同态像。此外,还研究了若干特类。

Completely 0-simple semigroup is a very important class of regular semigroups, and its also the basis for the structure of regular semigroups. Primitively decomposable rpp semigroups are generalizations of completely 0-simple semigroups in the range of rpp semigroups. In this paper, the author studied primitively decomposable rpp semigroups, gave some characterizations for these semigroups and proved that a semigroup S was primitively decomposable rpp semigroup if and only if it was a homomorphic image of Rees matrix semigroup over a left cancellative monoid satisfying some conditions. In addition, some special primitively decomposable rpp semigroups were considered and discussed.

文章引用:

邱小伟 , 郭小江 , 王军旗 , 吴 瑕 (2012) 本原可分rpp半群。 理论数学, 2, 256-262. doi: 10.12677/PM.2012.24039

 

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