GV-semigroups with their full subsemigroup lattices

Yu Wang, Yong Yu

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.

Keywords


GV-semigroups, full subsemigroup lattice, distributive lattice.

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References


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