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Some characterizations of uniserial rings

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References

  1. Asano, K.: Über verallgemeinerte Abelsche Gruppen mit hyperkomplexen Operatorenring und ihre Anwendungen. Jap. J. Math.15, 231–253 (1939).

    Google Scholar 

  2. —— Über Hauptidealringe mit Kettensatz. Osaka Math. J.1, 52–61 (1949).

    Google Scholar 

  3. Dieudonné, J.: Remarks on quasi-Frobenius rings. Ill. J. Math.2, 346–354 (1958).

    Google Scholar 

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

    Google Scholar 

  5. —— Utumi, Y.: Quasi-injective modules and their endomorphism rings. Arch. Math.15, 166–174 (1964).

    Google Scholar 

  6. —— Walker, E. A.: Direct-sum representations of injective modules. J. Algebra5, 203–221 (1967).

    Google Scholar 

  7. Fuller, K. R.: Generalized uniserial rings and their Kupisch series. Math. Z.106, 248–260 (1968).

    Google Scholar 

  8. Jacobson, N.: Structure of rings. Amer. Math. Soc. Providence, R. I., 1964.

  9. Johnson, R. E., Wong, E. T.: Quasi-injective modules and irreducible rings. J. London Math. Soc.36, 260–268 (1961).

    Google Scholar 

  10. Kaplansky, I.: Projective modules. Ann. of Math., Vol.68, No. 2, 372–377 (1958).

    Google Scholar 

  11. Köthe, G.: Verallgemeinerte Abelsche Gruppen mit hyperkomplexen Operatorenring. Math. Z.39, 31–44 (1934).

    Google Scholar 

  12. Lambek, J.: Lectures on rings and modules. Waltham, Mass.: Blaisdell 1966.

    Google Scholar 

  13. Morita, K.: Duality for modules and its applications to the theory of rings with minimum condition. Sci. Repts., Tokyo Kyoiku Daigaku6, 83–142 (1958).

    Google Scholar 

  14. Nakayama, T.: On Frobeniusean algebras, I. Ann. of Math.40, 611–633 (1939).

    Google Scholar 

  15. —— On Frobeniusean algebras, II. Ann. of Math.42, 1–21 (1941).

    Google Scholar 

  16. Wu, L. E. T., Jans, J. P.: On quasi-projectives, III. J. Math.11, 439–448 (1967).

    Google Scholar 

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Byrd, K.A. Some characterizations of uniserial rings. Math. Ann. 186, 163–170 (1970). https://doi.org/10.1007/BF01433274

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