Lattice isomorphisms of bisimple monogenic orthodox semigroups
Rings and Algebras
2021-11-04 v3
Abstract
Using the classification and description of the structure of bisimple monogenic orthodox semigroups obtained in \cite{key10}, we prove that every bisimple orthodox semigroup generated by a pair of mutually inverse elements of infinite order is strongly determined by the lattice of its subsemigroups in the class of all semigroups. This theorem substantially extends an earlier result of \cite{key25} stating that the bicyclic semigroup is strongly lattice determined.
Keywords
Cite
@article{arxiv.1107.4821,
title = {Lattice isomorphisms of bisimple monogenic orthodox semigroups},
author = {Simon M. Goberstein},
journal= {arXiv preprint arXiv:1107.4821},
year = {2021}
}
Comments
Semigroup Forum (published online: 15 April 2011)