On disjunctions of equations over finite simple semigroups
Rings and Algebras
2014-06-19 v2
Abstract
A semigroup is called an equational domain if any finite union of algebraic sets over is algebraic. For a finite simple semigroup we find necessary and sufficient conditions to be an equational domain. Moreover, we study semigroups with nontrivial center and prove that any such semigroup is not an equational domain.
Keywords
Cite
@article{arxiv.1305.6843,
title = {On disjunctions of equations over finite simple semigroups},
author = {Artem N. Shevlyakov},
journal= {arXiv preprint arXiv:1305.6843},
year = {2014}
}
Comments
arXiv admin note: text overlap with arXiv:1305.6842