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Splitting Theorems and a Problem of Müller

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Advances in Ring Theory

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

Abstract

In this paper we introduce and investigate a condition (FI) which encompases a large class of rings including duo rings, FPF rings, and GFC rings. This condition is used in our main results to generalize a splitting theoren of C. Faith, and it is also used to provide a large class of self-injective rings on which a question of B. J. Müller has an affirmative answer.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Southwestern Louisiana, Lafayette, Louisiana, 70504, USA

    Gary F. Birkenmeier

  2. Department of Mathematics, Kyung Нее University, Suwon, 449-701, South Korea

    Jin Yong Kim

  3. Department of Mathematics, Busan National University, Busan, 609-735, South Korea

    Jae Keol Park

Authors
  1. Gary F. Birkenmeier
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  2. Jin Yong Kim
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  3. Jae Keol Park
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Ohio University, Athens, OH, 45701, USA

    S. K. Jain

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

    S. Tariq Rizvi

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© 1997 Springer Science+Business Media New York

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Birkenmeier, G.F., Kim, J.Y., Park, J.K. (1997). Splitting Theorems and a Problem of Müller. In: Jain, S.K., Rizvi, S.T. (eds) Advances in Ring Theory. Trends in Mathematics. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1978-1_4

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  • DOI: https://doi.org/10.1007/978-1-4612-1978-1_4

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-7364-6

  • Online ISBN: 978-1-4612-1978-1

  • eBook Packages: Springer Book Archive

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