The Localization of a Commutative Ring

Anthony Bordg 🌐

June 14, 2018

This is a development version of this entry. It might change over time and is not stable. Please refer to release versions for citations.

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.

License

BSD License

Topics

Session Localization_Ring

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Cite

× 
@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{https://isa-afp.org/entries/Localization_Ring.html},
             Formal proof development},
  ISSN    = {2150-914x},
}
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