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The New Structure Theorem of Right-e Wlpp Semigroups

The New Structure Theorem of Right-e Wlpp Semigroups
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摘要 Wlpp semigroups are generalizations of lpp semigroups and regular semigroups. 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. Wlpp semigroups are generalizations of lpp semigroups and regular semigroups. 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.
出处 《Communications in Mathematical Research》 CSCD 2017年第3期274-280,共7页 数学研究通讯(英文版)
基金 The NSF(11471255)of China the Scientific Research Project(15JK1411)of Education Department of Shaanxi Provincial Government the Scientific Research Project(17KY02)of College
关键词 wlpp semigroup right-e wlpp semigroup spined product wlpp semigroup right-e wlpp semigroup spined product
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