English

On irreducible algebraic sets over linearly ordered semilattices

Rings and Algebras 2016-01-20 v2

Abstract

Equations over linearly ordered semilattices are studied. For any equation t(X)=s(X)t(X)=s(X) we find irreducible components of its solution set and compute the average number of irreducible components of all equations in nn variables.

Keywords

Cite

@article{arxiv.1601.03875,
  title  = {On irreducible algebraic sets over linearly ordered semilattices},
  author = {A. N. Shevlyakov},
  journal= {arXiv preprint arXiv:1601.03875},
  year   = {2016}
}