Math 2.0

Commutative algebra Localization Concept

Total ring of fractions

Summary

The total ring of fractions of a commutative ring RR is the localization of RR at the set of elements that are not zero divisors. It is the largest localization in which RR still embeds. For an integral domain, it is the field of fractions.

Further reading

  1. Web https://en.wikipedia.org/wiki/Total_ring_of_fractions
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TagK5Z67HR9ET
URIm2://K5Z67HR9ET
Kindconcept
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MSC13B30
SpecializesLocalization
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Changed2 November 2026

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