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Classifying subcategories of modules

Author(s): Mark Hovey
Journal: Trans. Amer. Math. Soc. 353 (2001), 3181-3191.
MSC (2000): Primary 13C05, 18E30, 18G35
Posted: April 12, 2001
Errata: Tran. Amer. Math. Soc. 360 (2008), 2809-2809
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Abstract:

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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Additional Information:

Mark Hovey
Affiliation: Department of Mathematics, Wesleyan University, Middletown, Connecticut 06459
Email: hovey@member.ams.org

DOI: 10.1090/S0002-9947-01-02747-7
PII: S 0002-9947(01)02747-7
Received by editor(s): January 15, 2000
Received by editor(s) in revised form: June 19, 2000
Posted: April 12, 2001
Copyright of article: Copyright 2001, American Mathematical Society

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