\(\pi\)-inverse semigroups whose lattice of \(\pi\)-inverse subsemigroups is \(0\)-distributive or \(0\)-modular (Q1386716)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: \(\pi\)-inverse semigroups whose lattice of \(\pi\)-inverse subsemigroups is \(0\)-distributive or \(0\)-modular |
scientific article; zbMATH DE number 1156726
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(\pi\)-inverse semigroups whose lattice of \(\pi\)-inverse subsemigroups is \(0\)-distributive or \(0\)-modular |
scientific article; zbMATH DE number 1156726 |
Statements
\(\pi\)-inverse semigroups whose lattice of \(\pi\)-inverse subsemigroups is \(0\)-distributive or \(0\)-modular (English)
0 references
16 November 1998
0 references
This paper studies the substructure lattice of a class of eventually regular semigroups: namely, those eventually regular semigroups with the property that every regular element has a unique inverse. These are the \(\pi\)-inverse semigroups of the title. Those \(\pi\)-inverse semigroups are characterised whose substructure lattices are 0-distributive or 0-modular.
0 references
\(\pi\)-inverse semigroups
0 references
eventually regular semigroups
0 references
regular elements
0 references
substructure lattices
0 references
lattices of subsemigroups
0 references
