Change of rings

In algebra, given a ring homomorphism $f: R \to S$ , there are three ways to change the coefficient ring of a module; namely, for a right R-module M and a right S-module N,

They are related as adjoint functors:

and

This is related to Shapiro's lemma.

单词	Coinduced module
释义	Coinduced module 英语百科 Change of rings In algebra, given a ring homomorphism $f: R \to S$ , there are three ways to change the coefficient ring of a module; namely, for a right R-module M and a right S-module N, They are related as adjoint functors: and This is related to Shapiro's lemma.
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Coinduced module

Change of rings