Total ring of fractions
id:
total-ring-of-fractions-282-5064885
title:
Total ring of fractions
text:
In abstract algebra, the total quotient ring or total ring of fractions is a construction that generalizes the notion of the field of fractions of an integral domain to commutative rings R that may have zero divisors. The construction embeds R in a larger ring, giving every non-zero-divisor of R an inverse in the larger ring. If the homomorphism from R to the new ring is to be injective, no further elements can be given an inverse.
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Total_ring_of_fractions
date created:
date modified:
2024-01-29T16:20:08Z
main entity:
{"identifier":"Q5695923","url":"https://www.wikidata.org/entity/Q5695923"}
image:
fields total:
13
integrity:
13