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Artinian rings with Morita duality

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Abstract

Two theorems are established which properly extend the ckss of artinian rings with Morita duality. A question of Anh about QF-rings is answered in the negative.

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References

  1. Anderson, F. W., Fuller, K. R.,Kings and Categories of Modules, 2nd ed., New York: Springer-Verlag, 1992.

    Google Scholar 

  2. Xue Weimin,Rings with Moriro Duality, Lect. Notes Math., Vol. 1523, Berlin: Springer Verlag, 1992.

    Google Scholar 

  3. Azumaya, G., Exact and serial rings,J. Algebra. 1983, 85: 477.

    Article  MATH  MathSciNet  Google Scholar 

  4. Camillo, V. P., Fuller. K. R., Haack, J. K., On Azumaya’s exact rings,Math. J. Okayama Univ., 1986, 28: 41.

    MATH  MathSciNet  Google Scholar 

  5. Cohn, P. M., On a class of binomial extensions,Illinois J. Math., 1966, 10: 418.

    MATH  MathSciNet  Google Scholar 

  6. Xue Weimin, Morita duality and artinian left duo rings,Bull. Austral. Math. Soc., 1989, 39: 339.

    MathSciNet  Google Scholar 

  7. Xue Weimin, On Morita duality,Bull. Austral. Math. Soc., 1994, 49: 35.

    MATH  MathSciNet  Google Scholar 

  8. Anh, P. N., Morita duality, linear compactness and AB5 *, inAhelian Groups and Modules (eds. Facchini, A., Menini, C.), Netherlands: Kluwer Academic Publishers, 1995, 17–28.

    Google Scholar 

  9. Ramamurthi, V. S., Rangaswamy, K. M., On finitely injective modules,J. Austral. Math. Soc., 1973, 16: 239.

    Article  MATH  MathSciNet  Google Scholar 

  10. Simson, D., Right pure semisimple hereditary rings,Lect. Notes Math., 1980, 832: 573.

    Article  MathSciNet  Google Scholar 

  11. Müller, B. J., Morita duality—a survey, in ‘Abelian groups and modules’,CISM Courses Lect., 1984, 287: 395.

    Google Scholar 

  12. Xue Weimin. A note on three artinian rings,Gomm. Algebra, 1990, 18: 2243.

    Article  MATH  Google Scholar 

  13. Jacobson, N.,Structure of Rings, Providence: her. Math. Soc. Colloq. Publication, Vol. 37, revised edition. 1984.

  14. Hill, D. A., Left serial rings and their factor skew fields,J. Algebra, 1992, 146: 30.

    Article  MATH  MathSciNet  Google Scholar 

  15. Kraemer, J.,Churacterizotions of the Existence of (Quasi-) Self-Duality for Complete Tensor Rings, Algebra Berichte, Vol. 56, München: Verlag Reinhard Fischer, 1987.

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Fujian Normal University, 350007, Fuzhou, China

    Weimin Xue

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  1. Weimin Xue
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Additional information

Project supported by the National Natural Science Foundation of China (Grant No. 19771016).

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Xue, W. Artinian rings with Morita duality. Sci. China Ser. A-Math. 41, 1233–1240 (1998). https://doi.org/10.1007/BF02882263

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  • DOI: https://doi.org/10.1007/BF02882263

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