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Equivalent Characterizations and Structure Theorem of Right C-wrpp Semigroups

American Journal of Mathematical and Computational Sciences
Vol.1 , No. 1, Publication Date: Jul. 19, 2016, Page: 55-61

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Authors

[1]	Deju Zhang, School of Science, Linyi University, Shandong, P. R. China.
[2]	Xiaomin Zhang, School of Logistic, Linyi University, Shandong, P. R. China.
[3]	Enxiao Yuan, School of Yishui, Linyi University, Shandong, P. R. China.

Abstract

The aim of this paper is to study the right dual of left C-wrpp semigroup, that is, the strongly wrpp semigroup whose set of idempotents forms a right regular band and the relation is a congruence. We call this kind of strongly wrpp semigroups right C-wrpp semigroups. This paper generalizes results of right C-rpp semigroups. Some properties and characterizations of right C-wrpp semigroups are investigated.

Keywords

Right C-wrpp Semigroup, Right Regular Band, Strongly Wrpp Semigroup

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