English

Characterizing Finitely Based Abelian Mal'cev Algebras

Logic 2024-11-27 v1

Abstract

In this paper, we prove the following characterization: an abelian Mal'cev variety is finitely based if and only it has finite type, its ring of idempotent binary terms is finitely presented, and its module of unary terms is finitely presented.

Keywords

Cite

@article{arxiv.2411.17004,
  title  = {Characterizing Finitely Based Abelian Mal'cev Algebras},
  author = {Mateo Muro},
  journal= {arXiv preprint arXiv:2411.17004},
  year   = {2024}
}

Comments

19 pages

R2 v1 2026-06-28T20:12:26.597Z