Classifying Subcategories of Modules

نویسنده

  • MARK HOVEY
چکیده

Let R be the quotient of a regular coherent commutative ring by a finitely generated ideal. In this paper, we classify all abelian subcategories of finitely presented R-modules that are closed under extensions. We also classify abelian subcategories of arbitrary R-modules that are closed under extensions and coproducts, when R is commutative and Noetherian. The method relies on comparison with the derived category of R.

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تاریخ انتشار 2001