Two Particular GV-semigroups with 0-semidistributive Full Subsemigroup Lattices
Yu Wang, Yong Yu · Journal of Advances in Applied Mathematics · 2016
The aim of this paper is to study two particular GV-semigroups whose full subsemigroups form 0-semidistributive lattices.The structure of GV-inverse semigroups whose full subsemigroup lattices are 0-semidistributive is first characterized.Moreover, much more explicit structural description is obtained for orthodox GV-semigroups by establishing an inverse semigroup congruence.