GV-semigroups with their full subsemigroup lattices

Yu Wang; Yong Yu

Yu Wang Department of Mathematics, Anhui University of Science and Technology, Huainan, Anhui 232001, P. R. China
Yong Yu Department of Mathematics, Anhui University of Science and Technology, Huainan, Anhui 232001, P. R. China

Keywords: GV-semigroups, full subsemigroup lattice, distributive lattice.

Abstract

The main aim of this paper is to study GV-semigroups whose full subsemigroups form distributive lattices. A sufficient and necessary condition for GVsemigroups to have distributive lattices of full subsemigroups is given. In particular, the structure of completely regular semigroups whose full subsemigroup lattices are distributive is characterized.

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