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- W4313482743 abstract "Let $A$ be a ring with minimum condition on principal right ideals. It is proved that $aleph_0$-distributive right (left) $A$-modules coincide with Artinian (Noetherian) right (left) $A$-modules. Rings, over which all right modules are direct sums of $aleph_0$-distributive coincide with rings of of finite representation type. Rings, whose right modules are semidistributive, coincide with Kawada rings, over basis rings of which all right modules are completely cyclic. The studies of Tuganbaev are supported by Russian Scientific Foundation, project 22-11-00052." @default.
- W4313482743 created "2023-01-06" @default.
- W4313482743 creator A5057554809 @default.
- W4313482743 date "2022-12-28" @default.
- W4313482743 modified "2023-09-30" @default.
- W4313482743 title "$aleph_0$-distributive modules and rings" @default.
- W4313482743 doi "https://doi.org/10.48550/arxiv.2212.14172" @default.
- W4313482743 hasPublicationYear "2022" @default.
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