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localization

Synonym: 
ring of fractions
Type of Math Object: 
Definition
Major Section: 
Reference
Groups audience: 

Mathematics Subject Classification

13B30 no label found

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There's a lovely theory devoted to localization over sets in non-commutative rings that I think deserves some treatment. I'm not up to it at this second though,

$R_a$ denotes the localization at the set $\{ a^n \vert n \in Z {\mathrm and } n \geq 0 \}$. The ideal $(a)$ has too many elements.

oops, i found the 'correct' thing... i'm a dumbass :)

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