# localization

## Primary tabs

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

## Mathematics Subject Classification

13B30 Rings of fractions and localization

### non-commutative version

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,

### correction

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

### Re: correction

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