Analytic isomorphism and category of finitely generated modules

Bhatwadekar, S. M. (1988) Analytic isomorphism and category of finitely generated modules Communications in Algebra, 16 (9). pp. 1949-1958. ISSN 0092-7872

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Related URL: http://dx.doi.org/10.1080/00927878808823669

Abstract

Let f: B → A be an analytic isomorphism along an element s of B. Then it is shown that the following square M(B) → M(A) M(Bs)→ M(As)is cartesian, where for a ring RM(R) denotes the category of finitely generated R-modules. Moreover, as a consequence of this result, we prove that the corresponding square of categories of finitely generated projective modules is also cartesian.

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