English

On disjunctions of algebraic sets in completely simple semigroups

Algebraic Geometry 2014-11-06 v2

Abstract

A semigroup SS is called an equational domain if any finite union of algebraic sets over SS is algebraic. We prove some necessary and sufficient conditions for a completely simple semigroup to be an equational domain.

Keywords

Cite

@article{arxiv.1406.4572,
  title  = {On disjunctions of algebraic sets in completely simple semigroups},
  author = {Artem N. Shevlyakov},
  journal= {arXiv preprint arXiv:1406.4572},
  year   = {2014}
}
R2 v1 2026-06-22T04:40:58.117Z