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Rings over which all modules are I 0-modules. II

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Abstract

All right R-modules are I 0-modules if and only if either R is a right SV-ring or R/I (2) (R) is an Artinian serial ring such that the square of the Jacobson radical of R/I (2) (R) is equal to zero.

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Authors and Affiliations

  1. Kazan’ State University, Kazan’, Russia

    A. N. Abyzov

  2. Russian State University of Trade and Economics, Moscow, Russia

    A. A. Tuganbaev

Authors
  1. A. N. Abyzov
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  2. A. A. Tuganbaev
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Correspondence to A. N. Abyzov.

Additional information

Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 14, No. 2, pp. 3–12, 2008.

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Abyzov, A.N., Tuganbaev, A.A. Rings over which all modules are I 0-modules. II. J Math Sci 162, 587–593 (2009). https://doi.org/10.1007/s10958-009-9647-0

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