Document Type

Article

Publication Date

3-1-2011

Source Publication

Communications in Algebra

Abstract

The description by Johnston-Thom and the second author of the inverse semigroups S for which the lattice LJ(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 lo(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 GS, the union of the subgroups of the semigroup (which is necessarily cryptic).

Comments

Accepted version. Communications in Algebra, Volume 39, No. 3 (March 2011), DOI: 10.1080/00927871003614447. Used with permission.