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

Authors

  • Chunru Wang Huaqing College, Xi’an University of Architecture and Technology, Xi’an, 710043
  • Xueming Ren Department of Mathematics, Xi’an University of Architecture and Technology, Xi’an, 710055
  • Siyao Ma Department of Mathematics, Xi’an University of Architecture and Technology, Xi’an, 710055

DOI:

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

Keywords:

wlpp semigroup, right-$e$ wlpp semigroup, spined product

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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Published

2019-11-22

Issue

Vol. 33 No. 3 (2017)

Section

Articles