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Communications in Algebra Volume 28, 2000 - Issue 8

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Original Articles

Endomorphism rings and the category of finitely generated projective modules

J.L. García Departamento de Matematicas, Universidad de Murcia, Spain E-mail: mailto:[email protected],mailto:[email protected]

Martínez Hernández Departamento de Matematicas, Universidad de Murcia, Spain E-mail: mailto:[email protected],mailto:[email protected]

P.L. Gómez Sánchez Departamento de Matemática Aplicada, Univ. Politecnica de Cartagena, Spain E-mail: mailto:[email protected]

Pages 3837-3852 | Received 01 Mar 1999, Published online: 27 Jun 2007

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https://doi.org/10.1080/00927870008827061

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Abstract

Given a left R-module M, we study the connection between the (right and left) properties of its endomorphism ring S=End(_RM) and the properties of the category σ _f [M] of all submodules of finitely M-generated left R-modules.

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