Answer to Question #152559 in Abstract Algebra for anjali

Question

explain the examples in localization of a ring

Answer 1

Localization is a systematic method of adding multiplicative inverses to a ring.

For integral domains, we have the Field of Fractions, and we work on it. A Field has multiplicative inverses,considering any arbitrary ring R, by the definition of localization, meaning we are adding multiplicative inverses to R thereby wanting R to be a division ring or a field.