English

On disjunctions of equations over semigroups

Rings and Algebras 2014-12-01 v3

Abstract

A semigroup SS is called an equational domain (e.d.) if any finite union of algebraic sets over SS is algebraic. For a semigroup SS with a finite ideal we find the necessary and sufficient conditions to be an e.d.

Keywords

Cite

@article{arxiv.1305.6842,
  title  = {On disjunctions of equations over semigroups},
  author = {Artem N. Shevlyakov},
  journal= {arXiv preprint arXiv:1305.6842},
  year   = {2014}
}
R2 v1 2026-06-22T00:24:37.872Z