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This article is cited in 4 scientific papers (total in 4 papers)
Rings over which each module possesses a maximal submodule
A. A. Tuganbaev Moscow Power Engineering Institute (Technical University)
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 ring $A$ is algebraic over its center, then $A$ is a right perfect ring $\iff$ $A$ is a right Bass ring that contains no infinite set of orthogonal idempotents.
Received: 05.09.1995
Citation:
A. A. Tuganbaev, “Rings over which each module possesses a maximal submodule”, Mat. Zametki, 61:3 (1997), 407–415; Math. Notes, 61:3 (1997), 333–339
Linking options:
https://www.mathnet.ru/eng/mzm1514https://doi.org/10.4213/mzm1514 https://www.mathnet.ru/eng/mzm/v61/i3/p407
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Abstract page: | 703 | Full-text PDF : | 182 | References: | 66 | First page: | 4 |
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