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Quasisimple modules and other topics in ring theory

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Lectures on Rings and Modules

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 246))

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Bibliography

  1. Faith, C., Lectures on Injective Modules and Quotient Rings, Springer-Verlag, 49 (1967).

    Google Scholar 

  2. Faith, C. and Y. Utumi, "Maximal Quotient Rings", Proc. Amer. Math. Soc., 16(1965), 1084–1089.

    Article  MathSciNet  MATH  Google Scholar 

  3. Goldie, A. W., "Semiprime Rings with Maximum Condition", Proc. London Math. Soc., 10(1960), 201–220.

    Article  MathSciNet  MATH  Google Scholar 

  4. Jacobson, N., Structure of Rings, Amer Math. Soc. Colloq. Pub. (1956).

    Google Scholar 

  5. Johnson, R. E., "The Extended Centralizer of a Ring Over a Module", Proc. Amer. Math. Soc., 2(1951) 891–895.

    Article  MathSciNet  MATH  Google Scholar 

  6. _____, Structure Theory of Faithful Rings III, Irreducible Rings, Proc. Amer. Math. Soc., 2(1960), 710–717.

    MathSciNet  MATH  Google Scholar 

  7. _____, "Quotient Rings of Rings with Zero Singular Ideal", Pacific J. Math., II(1961), 1385–1392.

    Article  MathSciNet  MATH  Google Scholar 

  8. Johnson, R. E. and E. T. Wong, "Quasi-Injective Modules and Irreducible Rings", J. London Math. Soc., 36(1961), 260–268.

    Article  MathSciNet  MATH  Google Scholar 

  9. Koh, K., "On Almost Maximal Right Ideals, Proc. Amer. Math. Soc., 25(1970), 266–272.

    Article  MathSciNet  MATH  Google Scholar 

  10. _____, "On the Annihilators of the Injective Hull of a Module", Canad. Math. Bull., vol. 12, No. 6, 1969.

    Google Scholar 

  11. Koh, K. and A. C. Mewborn, "Prime Rings with Maximal Annihilaton and Maximal Complement Right ideals," Proc. Amer. Math. Soc., 16(1965), 1073–1076.

    Article  MathSciNet  MATH  Google Scholar 

  12. _____, "A Class of Prime Rings", Can. Math. Bull., 9(1966), 63–72.

    Article  MathSciNet  MATH  Google Scholar 

  13. _____, "The Weak Radical of a Ring", Proc. Amer. Math. Soc., 18(1967), 554–559.

    Article  MathSciNet  MATH  Google Scholar 

  14. Koh, K. and J. Luh, "On a Finite Dimensional Quasi-Simple Module", Proc. Amer. Math. Soc., 25(1970), 801–807.

    Article  MathSciNet  MATH  Google Scholar 

  15. Osofsky, B., "On Ring Properties of Unjective Hulls", Can. Math. Bull., 7(1964), 405–413.

    Article  MathSciNet  MATH  Google Scholar 

  16. Utumi, Y., "On Continuous Regular Rings and Semisimple Self Injective Rings", Can. J. Math., 12(1960), 597–605.

    Article  MathSciNet  MATH  Google Scholar 

  17. _____, "On Rings of Which Any One-Sided Quotient Rings are Two-Sided", Proc. Amer. Math. Soc., 14(1963), 141–147.

    Article  MathSciNet  MATH  Google Scholar 

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© 1972 Springer-Verlag

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Koh, K. (1972). Quasisimple modules and other topics in ring theory. In: Lectures on Rings and Modules. Lecture Notes in Mathematics, vol 246. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0059568

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  • DOI: https://doi.org/10.1007/BFb0059568

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05760-4

  • Online ISBN: 978-3-540-37181-6

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