Semidistributive Inverse Semigroups, II
Kyeong Hee Cheong, Peter R. Jones · Communications in Algebra · 2011
The description by Johnston-Thom and the second author of the inverse semigroups S for which the lattice ℒℱ(S) of full inverse subsemigroups of S is join semidistributive is used to describe those for which (a) the lattice ℒ(S) of all inverse subsemigroups or (b) the lattice 𝒞o(S) of convex inverse subsemigroups have that property. In contrast with the methods used by the authors to investigate lower semimodularity, the methods are based on decompositions via G S , the union of the subgroups of the semigroup (which is necessarily cryptic).