Semidistributive Inverse Semigroups, II

Authors

Kyeong Hee CheongFollow
Peter Jones, Marquette UniversityFollow

Document Type

Article

Language

eng

Format of Original

20 p.

Publication Date

3-1-2011

Publisher

Taylor & Francis

Source Publication

Communications in Algebra

Source ISSN

0092-7872

Original Item ID

doi: 10.1080/00927871003614447

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 G_S, 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. © 2011 Taylor and Francis. Used with permission.

Recommended Citation

Cheong, Kyeong Hee and Jones, Peter, "Semidistributive Inverse Semigroups, II" (2011). Mathematics, Statistics and Computer Science Faculty Research and Publications. 23.
https://epublications.marquette.edu/mscs_fac/23