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International Symposium on Ring Theory pp 245–277Cite as

Birkhäuser

On Quasi-Frobenius Rings

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Part of the book series: Trends in Mathematics ((TM))

Abstract

There are three outstanding conjectures about quasi-Frobenius rings: The Faith conjecture that every left perfect, right selfinjective ring is quasi-Frobenius; The FGF-conjecture that every ring for which each finitely generated right module embeds in a free module is quasi-Frobenius; and The Faith-Menal conjecture that every right noetherian ring in which all right ideals are annihilators is quasi-Frobenius. In this paper we survey recent work on these conjectures and provide some new results on the subject.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Calgary, Calgary, Alberta, T2N 1N4, Canada

    W. K. Nicholson

  2. Department of Mathematics, Ohio State University, Lima, OH, 45804-3576, USA

    M. F. Yousif

Authors
  1. W. K. Nicholson
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  2. M. F. Yousif
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA, 70504-1010, USA

    Gary F. Birkenmeier

  2. Department of Mathematics, Pusan National University, Pusan, 609-735, Korea

    Jae Keol Park

  3. Department of Mathematics, Kyungpook National University, Taegu, 702-701, Korea

    Young Soo Park

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© 2001 Springer Science+Business Media New York

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Nicholson, W.K., Yousif, M.F. (2001). On Quasi-Frobenius Rings. In: Birkenmeier, G.F., Park, J.K., Park, Y.S. (eds) International Symposium on Ring Theory. Trends in Mathematics. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0181-6_20

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  • DOI: https://doi.org/10.1007/978-1-4612-0181-6_20

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6650-1

  • Online ISBN: 978-1-4612-0181-6

  • eBook Packages: Springer Book Archive

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