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Pseudo-C-rpp semigroups
Authors:Xiao Jiang Guo  Young Bae Jun  Ming Zhao
Affiliation:1. Department of Mathematics, Jiangxi Normal University, Nanchang, 330022, P. R. China
2. Department of Mathematics Education and RINS, Gyeongsang National University, Chinju, 660-701, Korea
3. Teaching and Research Section of Mathematics, Shangrao Branch of Jiangxi Medical College, Shangrao, 334000, P. R. China
Abstract:The aim of this paper is to study a class of right pp semigroups, so-called pseudo-C-rpp semigroups. After obtaining some characterizations of pseudo-C-rpp semigroups, we establish a construction of such semigroups in terms of left normal bands and right C-rpp semigroups. In particular, a special case is considered.
Keywords:right pp semigroup   left normal band   strongly rpp semigroup   right quasi-normal band right regular band   left cancellative monoid
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