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Rings over which all modules are semiregular

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For a ring A, it is proved that all A-modules are semiregular if and only if A is an Artinian serial ring and J 2(A) = 0.

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Authors and Affiliations

  1. Russian University of Trade and Economics, Moscow, Russia

    A. A. Tuganbaev

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  1. A. A. Tuganbaev
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Correspondence to A. A. Tuganbaev.

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__________

Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 13, No. 2, pp. 185–194, 2007.

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Tuganbaev, A.A. Rings over which all modules are semiregular. J Math Sci 154, 249–255 (2008). https://doi.org/10.1007/s10958-008-9163-7

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