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Morita Endomorphism Algebras of Generators

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Abstract

We provide a characterization for the endomorphism algebra of a generator to be a Morita algebra. As an application, n-Auslander algebras which are Morita algebras simultaneously are characterized.

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Authors and Affiliations

  1. Mathematisches Institut, Heinrich-Heine-Universität, 40225, Düsseldorf, Germany

    Otto Kerner

  2. Institute of Engineering, Tokyo University of Agriculture and Technology, Nakacho 2-24-16, 184-8588, Koganei, Tokyo, Japan

    Kunio Yamagata

Authors
  1. Otto Kerner
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  2. Kunio Yamagata
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Corresponding author

Correspondence to Otto Kerner.

Additional information

Presented by Steffen Koenig

Dedicated to: Andrzej Skowroński on the occasion of his sixty-fifth birthday

The second author was supported by JSPS KAKENHI Grant #25400036.

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Kerner, O., Yamagata, K. Morita Endomorphism Algebras of Generators. Algebr Represent Theor 19, 749–759 (2016). https://doi.org/10.1007/s10468-016-9601-z

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  • DOI: https://doi.org/10.1007/s10468-016-9601-z

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