Abstract
Rings over which every nonzero right module has a maximal submodule are calledright Bass rings. For a ringA module-finite over its centerC, the equivalence of the following conditions is proved:
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(1)
A is a tight Bass ring;
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(2)
A is a left Bass ring;
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(3)
A/J(A) is a regular ring, andJ(A) is a right and leftt-nilpotent ideal.
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Translated fromMatematicheskie Zametki, Vol. 64, No. 1, pp. 136–142, July, 1998.
This research was partially supported by the Russian Foundation for Basic Research under grant No. 96-01-00627.
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Tuganbaev, A.A. Maximal submodules and locally perfect rings. Math Notes 64, 116–120 (1998). https://doi.org/10.1007/BF02307202
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DOI: https://doi.org/10.1007/BF02307202