Localization of A Category - Module Theory

Module Theory

In the theory of modules over a commutative ring R, when R has Krull dimension ≥ 2, it can be useful to treat modules M and N as pseudo-isomorphic if M/N has support of codimension at least two. This idea is much used in Iwasawa theory.

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    It makes no sense to say what the objects of a theory are,
    beyond saying how to interpret or reinterpret that theory in another.
    Willard Van Orman Quine (b. 1908)