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Rings over which each module possesses a maximal submodule |
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| Authors: | A A Tuganbaev |
| Institution: | (1) Moscow Power Engineering Institute, Moscow, USSR |
| 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. Translated fromMatematicheskie Zametki, Vol. 61, No. 3, pp. 407–415, March, 1997. Translated by A. I. Shtern |
| Keywords: | right Bass ring right perfect ring orthogonal idempotents Bass conjecture PI ring prime ideal integral domain reduced ring right quasiinvariant ring ring of bounded index right vanishing ideal rightV-ring strictly π -regular ring |
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