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Rings over which each module possesses a maximal submodule

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Abstract

Right Bass rings are investigated, that is, rings over which any nonzero right module has a maximal submodule. In particular, it is proved that if any prime quotient ring of a ringA is algebraic over its center, thenA is a right perfect ring iffA is a right Bass ring that contains no infinite set of orthogonal idempotents.

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Authors and Affiliations

  1. Moscow Power Engineering Institute, Moscow, USSR

    A. A. Tuganbaev

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  1. A. A. Tuganbaev
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Translated fromMatematicheskie Zametki, Vol. 61, No. 3, pp. 407–415, March, 1997.

Translated by A. I. Shtern

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Tuganbaev, A.A. Rings over which each module possesses a maximal submodule. Math Notes 61, 333–339 (1997). https://doi.org/10.1007/BF02355415

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