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Dual Bimodules and Nakayama Permutations

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International Symposium on Ring Theory

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

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Abstract

Unifying results due to Azumaya, Hajarnavis and Norton, and Nicholson and Yousif, we shall give a characterization of the Nakayama permutation. Then the dual bimodule can be characterized by a Nakayama permutation. We shall show that any left PF ring also admits a Nakayama permutation.

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Author information

Authors and Affiliations

  1. Res. Inst. for Integrated Science, Kanagawa University, Hiratsuka, Japan

    Y. Kurata

  2. Division of General Education, Oshima National College of Maritime Technology, Oshima-cho, Japan

    K. Koike

  3. System Development Laboratory, Hitachi Ltd., Yokohama, Japan

    K. Hashimoto

Authors
  1. Y. Kurata
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  2. K. Koike
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  3. K. Hashimoto
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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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Kurata, Y., Koike, K., Hashimoto, K. (2001). Dual Bimodules and Nakayama Permutations. 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_13

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  • DOI: https://doi.org/10.1007/978-1-4612-0181-6_13

  • 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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