On disjunction of equations in inverse semigroups
Algebraic Geometry
2013-06-20 v1 Group Theory
Abstract
A semigroup is an equational domain if any finite union of algebraic sets over is algebraic. We prove that if an inverse semigroup is an equational domain in the extended language then is a group.
Keywords
Cite
@article{arxiv.1306.4545,
title = {On disjunction of equations in inverse semigroups},
author = {Artem N. Shevlyakov},
journal= {arXiv preprint arXiv:1306.4545},
year = {2013}
}