右C-qrpp半群的性质与结构

Some characterizations and structure of the right C-qrpp semigroups

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.