English

Characterization of coextensive varieties of universal algebras II

Category Theory 2021-04-27 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. This paper is an updated version of the pre-print arXiv:2008.03474

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Cite

@article{arxiv.2104.12188,
  title  = {Characterization of coextensive varieties of universal algebras II},
  author = {David Neal Broodryk},
  journal= {arXiv preprint arXiv:2104.12188},
  year   = {2021}
}

Comments

This paper is an updated version of the pre-print arXiv:2008.03474