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Selforthogonal Modules

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Abelian Groups and Modules

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

Abstract

Let Λ be an artin algebra and mod Λ be the category of finitely generated left Λ-modules. A Λ-module X is called selforthogonal in case Ext iΛ for all i > 0. We will survey recent results on the structure of such modules especially in the case that they have finite projective dimension.

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Author information

Authors and Affiliations

  1. Fakultät für Mathematik, Technische Universität Chemnitz-Zwickau, Postfach 964, D-09009, Chemnitz, Germany

    Dieter Happel

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  1. Dieter Happel
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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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Happel, D. (1995). Selforthogonal Modules. 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_21

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  • DOI: https://doi.org/10.1007/978-94-011-0443-2_21

  • 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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