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Self-injective rings with restricted chain conditions

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References

  1. E. P. Armendariz, Rings with DCC on essential left ideals. Comm. Algebra (3)8, 299–308 (1980).

    Google Scholar 

  2. G. Azumaya, Completely faithful modules and self-injective rings. Nagoya Math. J.27, 697–708 (1966).

    Google Scholar 

  3. V. P. Camillo, Commutative rings whose quotients are Goldie. Glasgow Math. J.16, 32–33 (1975).

    Google Scholar 

  4. F. Dischinger andW. Müller, Left PF is not right PF. Comm. Algebra (7)14, 1223–1227 (1986).

    Google Scholar 

  5. C. Faith, Rings with ascending chain condition on annihilators. Nagoya Math. J.27, 179–191 (1966).

    Google Scholar 

  6. C.Faith, Algebra II — Ring Theory. Berlin-Heidelberg-New York 1976.

  7. J. W. Fisher, On the nilpotency of nil subrings. Canad. J. Math.22, 1211–1216 (1970).

    Google Scholar 

  8. R.Gordon and J. C.Robson, Krull dimension. Mem. Amer. Math. Soc.133, Providence, R.I., 1973.

  9. D. V. Huynh, N. V. Dung andR. Wisbauer, Quasi-injective modules withacc ordcc on essential submodules. Arch. Math.53, 252–255 (1989).

    Google Scholar 

  10. C. Lanski, Nil subrings of Goldie rings are nilpotent. Canad. J. Math.21, 904–907 (1969).

    Google Scholar 

  11. T. H. Lenagan, Nil ideals rings with finite Krull dimension. J. Algebra29, 77–87 (1974).

    Google Scholar 

  12. L. S. Levy, Commutative rings whose homomorphic images are self-injective. Pacific J. Math.18, 149–153 (1966).

    Google Scholar 

  13. B. L. Osofsky, A generalization of quasi-Frobenius rings. J. Algebra4, 373–389 (1966).

    Google Scholar 

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

    Google Scholar 

  15. Y. Utumi, Self-injective rings. J. Algebra6, 56–64 (1967).

    Google Scholar 

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Author notes

  1. Efraim P. Armendariz

    Present address: Department of Mathematics, The University of Texas at Austin, 78712, Austin, Texas, USA

  2. Jae Keol Park

    Present address: Department of Mathematics, Busan National University, 609-735, Busan, Korea

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    1. Efraim P. Armendariz
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    2. Jae Keol Park
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    Dedicated to Professor Sterling K. Berberian on his 65th birthday

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    Armendariz, E.P., Park, J.K. Self-injective rings with restricted chain conditions. Arch. Math 58, 24–33 (1992). https://doi.org/10.1007/BF01198638

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