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The New Structure Theorem of Right-e Wlpp Semigroups
Authors:Wang Chun-ru  Ren Xue-ming  Ma Si-yao
Affiliation:1. Huaqing College, Xi'an University of Architecture and Technology, Xi'an, 710043;2. Department of Mathematics, Xi'an University of Architecture and Technology, Xi'an, 710055
Abstract:Wlpp semigroups are generalizations of lpp semigroups and regular semi-groups. In this paper, we consider some kinds of wlpp semigroups, namely right-e wlpp semigroups. It is proved that such a semigroup S , if and only if S is the strong semilattice of L-right cancellative planks;also if and only if S is a spined product of a right-e wlpp semigroup and a left normal band.
Keywords:wlpp semigroup  right-e wlpp semigroup  spined product
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