Extension and Contraction of Ideals

In commutative algebra, the extension and contraction of ideals are operations performed on sets of ideals.

Read more about Extension And Contraction Of Ideals:  Extension of An Ideal, Contraction of An Ideal, Properties, Extension of Prime Ideals in Number Theory

Other articles related to "extension and contraction of ideals, extension, ideal":

Extension And Contraction Of Ideals - Extension of Prime Ideals in Number Theory
... Let K be a field extension of L, and let B and A be the rings of integers of K and L, respectively ... Then B is an integral extension of A, and we let f be the inclusion map from A to B ... The behaviour of a prime ideal of A under extension is one of the central problems of algebraic number theory ...

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