Von Neumann Regular $\mathcal{C}^{\infty}-$Rings and Applications
Category Theory
2019-05-24 v1
Abstract
In this paper we present the notion of a von Neumann regular ring, we prove some results about them and we describe some of their properties. We prove, using two different methods, that the category of von Neumann regular rings is a reflective subcategory of . We prove that every homomorphism between Boolean algebras can be represented by a ring homomorphism between von Neumann regular rings.
Cite
@article{arxiv.1905.09617,
title = {Von Neumann Regular $\mathcal{C}^{\infty}-$Rings and Applications},
author = {Jean Cerqueira Berni and Hugo Luiz Mariano},
journal= {arXiv preprint arXiv:1905.09617},
year = {2019}
}
Comments
72 pages