English

Characterization of coextensive varieties of universal algebras

Category Theory 2020-08-11 v1

Abstract

A coextensive category can be defined as a category C\mathcal{C} with finite products such that for each pair X,YX,Y of objects in C\mathcal{C}, the canonical functor × ⁣:X/C×Y/C(X×Y)/C\times\colon X/\mathcal{C} \times Y/\mathcal{C} \to (X \times Y)/\mathcal{C} is an equivalence. We give a syntactical characterization of coextensive varieties of universal algebras.

Keywords

Cite

@article{arxiv.2008.03474,
  title  = {Characterization of coextensive varieties of universal algebras},
  author = {David Neal Broodryk},
  journal= {arXiv preprint arXiv:2008.03474},
  year   = {2020}
}