Format of Original
Taylor & Francis
Communications in Algebra
Original Item ID
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).
Cheong, Kyeong Hee and Jones, Peter, "Semidistributive Inverse Semigroups, II" (2011). Mathematics, Statistics and Computer Science Faculty Research and Publications. 23.