Ore condition
id:
ore-condition-202-2475432
title:
Ore condition
text:
In mathematics, especially in the area of algebra known as ring theory, the Ore condition is a condition introduced by Øystein Ore, in connection with the question of extending beyond commutative rings the construction of a field of fractions, or more generally localization of a ring. The right Ore condition for a multiplicative subset S of a ring R is that for a ∈ R and s ∈ S, the intersection aS ∩ sR ≠ ∅. A (non-commutative) domain for which the set of non-zero elements satisfies the right Ore
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wiki
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encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Ore_condition
date created:
date modified:
2022-01-28T00:01:39Z
main entity:
{"identifier":"Q986499","url":"https://www.wikidata.org/entity/Q986499"}
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13
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