English

A Pierce Representation Theorem for varieties with BFC

Category Theory 2018-05-21 v1 Algebraic Geometry

Abstract

We generalize the Pierce representation theorem for (commutative) rings with unit to other algebraic categories with Definable Factor Congruences by using tools from topos theory. Of independent interest, we prove that an algebraic category with right existential definable factor congruences is coextensive if and only if has center stable by complements.

Keywords

Cite

@article{arxiv.1805.07169,
  title  = {A Pierce Representation Theorem for varieties with BFC},
  author = {William Zuluaga},
  journal= {arXiv preprint arXiv:1805.07169},
  year   = {2018}
}

Comments

Comments and suggestions are welcomed

R2 v1 2026-06-23T01:59:51.650Z