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A Ring of Morita Context in Which Each Right Ideal is Weakly Self-Injective

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Advances in Ring Theory

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

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Abstract

In this paper, among others, an example of a noetherian ring of Morita Context in which each right ideal is weakly self-injective, has been studied.

1991 Mathematics Subject Classification. 16D50.

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References

  1. G. Ivanov, Non-local rings whose ideals are all quasi-injective, Bull. Austral. Math. Soc. 6 (1972), 45–52.

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  2. G. Ivanov, Non-local rings whose ideals are all quasi-injective: addendum, Bull. Austral. Math. Soc. 12 (1975), 159–160.

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  3. S. K. Jain and S. R. López-Permouth, A survey on the theory of weakly-injective modules, Computational Algebra, Marcel Dekker, NY (1994), 205–232.

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  4. J. C. McConnell and J. C. Robson, Noncommutative Noetherian Rings,Wiley, NY, 1987.

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  5. Marianne Müller, Rings of quotients of generalized matrix rings, Comm. Alg. 15(10), 1987, 1991–2015.

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  6. Kazunori Sakano, Maximal quotient rings of generalized matrix rings, Comm. Alg. 12(16), 1984, 2055–2065.

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Author information

Authors and Affiliations

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

    S. Barthwal, S. K. Jain, S. Jhingan & Sergio R. López-Permouth

Authors
  1. S. Barthwal
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  2. S. K. Jain
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  3. S. Jhingan
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  4. Sergio R. López-Permouth
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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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Barthwal, S., Jain, S.K., Jhingan, S., López-Permouth, S.R. (1997). A Ring of Morita Context in Which Each Right Ideal is Weakly Self-Injective. 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_3

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  • DOI: https://doi.org/10.1007/978-1-4612-1978-1_3

  • 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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