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Ore's theorem (Theorem)

A ring has a (left, right) classical ring of quotients if and only if it satisfies the (left, right) Ore condition.



"Ore's theorem" is owned by mclase.
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See Also: Ore condition, Goldie's theorem
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Cross-references: Ore condition, classical ring of quotients, ring
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This is version 4 of Ore's theorem, born on 2003-10-20, modified 2007-11-24.
Object id is 5404, canonical name is OresTheorem2.
Accessed 2837 times total.

Classification:
AMS MSC: 16U20 (Associative rings and algebras :: Conditions on elements :: Ore rings, multiplicative sets, Ore localization)
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