English

Coextensive varieties via Central Elements

Category Theory 2020-12-23 v1

Abstract

In this paper we use the theory of central elements in order to provide a characterization for coextensive varieties. In particular, if the variety is of finite type, congruence-permutable and its class of directly indecomposable members is universal, then coextensivity is equivalent to be a variety of shells.

Keywords

Cite

@article{arxiv.2012.11800,
  title  = {Coextensive varieties via Central Elements},
  author = {W. J. Zuluaga Botero},
  journal= {arXiv preprint arXiv:2012.11800},
  year   = {2020}
}