The New Structure Theorem of Right-$e$ Wlpp Semigroups

The New Structure Theorem of Right-$e$ Wlpp Semigroups

Year:    2017

Author:    Chunru Wang, Xueming Ren, Siyao Ma

Communications in Mathematical Research , Vol. 33 (2017), Iss. 3 : pp. 274–280

Abstract

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 $\mathcal{L}$-right cancellative planks; also if and only if $S$ is a spined product of a right-$e$ wlpp semigroup and a left normal band.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.13447/j.1674-5647.2017.03.07

Communications in Mathematical Research , Vol. 33 (2017), Iss. 3 : pp. 274–280

Published online:    2017-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    7

Keywords:    wlpp semigroup right-$e$ wlpp semigroup spined product

Author Details

Chunru Wang

Xueming Ren

Siyao Ma