English

Closure operators on algebras

Rings and Algebras 2015-08-18 v2

Abstract

We study connections between closure operators on an algebra (A,\Om)(A,\Om) and congruences on the extended power algebra defined on the same algebra. We use these connections to give an alternative description of the lattice of all subvarieties of semilattice ordered algebras.

Keywords

Cite

@article{arxiv.1310.6021,
  title  = {Closure operators on algebras},
  author = {Agata Pilitowska and Anna Zamojska-Dzienio},
  journal= {arXiv preprint arXiv:1310.6021},
  year   = {2015}
}
R2 v1 2026-06-22T01:52:01.113Z