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Modules Over Endomorphism Rings as Homotopy Classes

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Abelian Groups and Modules

Part of the book series: Mathematics and Its Applications ((MAIA,volume 343))

Abstract

Let R be an associative ring with identity, fix a right R-module A, and let E = End R (A) be he ring of R-module endomorphisms of A. View as an E-R-bimodule, and let M T denote the category of right modules over a ring T. To emphasize the arbitrary selection of R, module will mean right R-module and Hom = Hom R throughout this paper.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Fordham University, Bronx, NY, 10458, USA

    Theodore G. Faticoni

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  1. Theodore G. Faticoni
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Editor information

Editors and Affiliations

  1. Department of Mathematics and Informatics, University of Udine, Udine, Italy

    Alberto Facchini

  2. Department of Mathematics, University of Ferrara, Ferrara, Italy

    Claudia Menini

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© 1995 Springer Science+Business Media Dordrecht

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Faticoni, T.G. (1995). Modules Over Endomorphism Rings as Homotopy Classes. In: Facchini, A., Menini, C. (eds) Abelian Groups and Modules. Mathematics and Its Applications, vol 343. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0443-2_13

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  • DOI: https://doi.org/10.1007/978-94-011-0443-2_13

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4198-0

  • Online ISBN: 978-94-011-0443-2

  • eBook Packages: Springer Book Archive

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