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On noncommutative rings with elementary divisors

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Ukrainian Mathematical Journal Aims and scope

Abstract

Maximally nonprincipal ideals of rings of finitely generated principal ideals are investigated. A new class of rings of elementary divisors is described.

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Literature cited

  1. J. Kaplansky, “Elementary divisors and modules,” Trans. Am. Math. Soc.,66, 464–491 (1949).

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  2. T. Shores, “Bezout rings and their modules,” in: Ring Theory Proc. Oklf. Conf., Academic Press, New York (1974), pp. 63–73.

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  3. B. V. Zabavskii, “On noncommutative rings of elementary divisors,” Ukr. Mat. Zh.,39, No. 4, 440–444 (1987).

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Authors and Affiliations

  1. L'vov

    B. V. Zabavskii

Authors
  1. B. V. Zabavskii
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 6, pp. 847–850, June, 1990.

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Zabavskii, B.V. On noncommutative rings with elementary divisors. Ukr Math J 42, 748–750 (1990). https://doi.org/10.1007/BF01058928

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  • DOI: https://doi.org/10.1007/BF01058928

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