右C-qrpp半群的性质与结构  

Some characterizations and structure of the right C-qrpp semigroups

作　　者：饶冬飞 邓梓杨 RAO Dongfei;DENG Ziyang(Department of Mathematics and Computers,Yuzhang Normal University,Nanchang 330103,China)

机构地区：[1]豫章师范学院数学与计算机学院,江西南昌330103

出　　处：《南昌大学学报（理科版）》2022年第1期38-43,共6页Journal of Nanchang University(Natural Science)

基　　金：江西省教育厅科技项目(GJJ171190)。

摘　　要：文献[10]定义并初步探讨了右C-qrpp半群,指出了这类半群与右C-rpp半群类似并与左C-wrpp半群对偶。本文是对右C-qrpp半群的进一步探讨,获得了它的一些新特征。特别地,我们证得了:一个半群是右C-qrpp的当且仅当该半群同构于一个C-wrpp半群与一个右正则带的对偶半织积。As an analogue of right C-rpp semigroups and a dual of left C-wrpp semigroups,right C-qrpp semigroups were defined and investigated by Rao-Guo[10].In this paper,I continue the reserch about right C-qrpp semigroups and obtain some new characterizations similar to those of right C-rpp semigroups.Particularly,it is proved that a semiroup is a right C-qrpp semigroup if and only if it is isomorphic to some dual semispined product of a C-wrpp semigroup and a right regular band.

关 键 词：右C-qrpp半群 左R-可消幺半群 右正则带 对偶半织积 

分 类 号：O152.7[理学—数学]