The Localization of a Commutative Ring

Anthony Bordg

14 June 2018

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.
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@article{Localization_Ring-AFP,
  author  = {Anthony Bordg},
  title   = {The Localization of a Commutative Ring},
  journal = {Archive of Formal Proofs},
  month   = June,
  year    = 2018,
  note    = {\url{http://isa-afp.org/entries/Localization_Ring.html},
            Formal proof development},
  ISSN    = {2150-914x},
}
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