The Localization of a Commutative Ring

 

Title: The Localization of a Commutative Ring
Author: Anthony Bordg
Submission date: 2018-06-14
Abstract: We formalize the localization of a commutative ring R with respect to a multiplicative subset (i.e. a submonoid of R seen as a multiplicative monoid). This localization is itself a commutative ring and we build the natural homomorphism of rings from R to its localization.
BibTeX:
@article{Localization_Ring-AFP,
  author  = {Anthony Bordg},
  title   = {The Localization of a Commutative Ring},
  journal = {Archive of Formal Proofs},
  month   = jun,
  year    = 2018,
  note    = {\url{http://isa-afp.org/entries/Localization_Ring.html},
            Formal proof development},
  ISSN    = {2150-914x},
}
License: BSD License
Status: [ok] This is a development version of this entry. It might change over time and is not stable. Please refer to release versions for citations.