English

Dilatations of categories

Category Theory 2024-11-13 v2 Rings and Algebras

Abstract

Dilatations modify categories by imposing that some morphisms factorize through some others. This is formalized by a universal property. This text is devoted to introduce and study this construction. Examples of dilatations of categories include localizations of categories and dilatations of rings.

Keywords

Cite

@article{arxiv.2305.11303,
  title  = {Dilatations of categories},
  author = {Arnaud Mayeux},
  journal= {arXiv preprint arXiv:2305.11303},
  year   = {2024}
}
R2 v1 2026-06-28T10:38:42.566Z