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Flache und halbinjektive Funktoren

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Abstract

We present a flatness criterion for additive functors unifying the results of Lazard and Ulmer. By dualization we obtain a criterion for functors being FP-injective which generalizes a result of Würfel on modules being FP-injective over their endomorphism rings. These methods will give a new characterization of FP-injective modules as well as a new version of the Gabriel Popesco theorem. Finally we describe π-flat functors (functors with flat direct products) thus extending results of Colby and Rutter.

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Authors and Affiliations

  1. Fachbereich Mathematik-Informatik der Gesamthochschule Paderborn, Pohlweg 55, D-4790, Paderborn, Bundesrepublik Deutschland

    Michael Höppner & Helmut Lenzing

Authors
  1. Michael Höppner
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  2. Helmut Lenzing
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Höppner, M., Lenzing, H. Flache und halbinjektive Funktoren. Manuscripta Math 20, 315–322 (1977). https://doi.org/10.1007/BF01171124

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  • DOI: https://doi.org/10.1007/BF01171124

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