English

A result of Krasner in categorial form

Category Theory 2023-10-11 v2 Commutative Algebra

Abstract

In 1957 M.\ Krasner described a complete valued field (K,v)(K,v) via the projective limit of a system of certain structures, called hyperfields, associated to (K,v)(K,v). We put this result in purely category-theoretic terms by translating into a limit construction in certain slice categories of the category of valued hyperfields and their homomorphisms.

Keywords

Cite

@article{arxiv.2309.16404,
  title  = {A result of Krasner in categorial form},
  author = {Alessandro Linzi},
  journal= {arXiv preprint arXiv:2309.16404},
  year   = {2023}
}