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A note on semi-prime rings

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Abstract

A generalization of semi-prime rings, calledSRN rings, is introduced. Reduced ideals, annihilators and various properties of semi-prime and self-injective rings are considered.

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References

  1. Birkenmeier, G. F.: Baer rings and quasi-continuous rings have a MDSN. Pac. J. Math.97, 283–292 (1981).

    Google Scholar 

  2. Birkenmeier, G. F.: Idempotents and completely semi-prime ideals. Comm. Algebra11, 567–580 (1983).

    Google Scholar 

  3. Fisher, J. W.: Von Neumann regular rings versusV-rings. Proc. Oklahoma Conference. Lecture Notes 7, 101–119. New York: Dekker. 1974.

    Google Scholar 

  4. Faith, C.: Algebra II. Ring Theory. Berlin-Heidelberg-New York: Springer. 1976.

    Google Scholar 

  5. Goodearl, K. R.: Von Neumann Regular Rings. London: Pitman. 1979.

    Google Scholar 

  6. Hirano, Y., Tominaga, H.: Regular rings,V-rings and their generalizations. Hiroshima Math. J.9, 137–149 (1979).

    Google Scholar 

  7. Ikeda, M., Nakayama, T.: On some characteristic properties of quasi-Frobenius and regular rings. Proc. Amer. Math. Soc.5, 15–19 (1954).

    Google Scholar 

  8. Utumi, Y.: On continuous rings and self-injective rings. Trans. Amer. Math. Soc.118, 158–173 (1965).

    Google Scholar 

  9. Yue Chi Ming, R.: On simplep-injective modules. Math. Japanica19, 173–176 (1974).

    Google Scholar 

  10. Yue Chi Ming, R.: On generalizations ofV-rings and regular rings. Math. J. Okayama Univ.20, 123–129 (1978).

    Google Scholar 

  11. Yue Chi Ming, R.: On regular rings and self-injective rings. Mh. Math.91, 153–166 (1981).

    Google Scholar 

  12. Yue Chi Ming, R.: On regular rings and continuous rings, II. Kyungpook Math. J.21, 171–178 (1981).

    Google Scholar 

  13. Yue Chi Ming, R.: On quasi-injectivity and von Neumann regularity. Mh. Math.95, 25–32 (1983).

    Google Scholar 

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Ming, R.Y.C. A note on semi-prime rings. Monatshefte für Mathematik 101, 173–182 (1986). https://doi.org/10.1007/BF01301657

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  • DOI: https://doi.org/10.1007/BF01301657

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