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arXiv · 2601.16201

Generalized Bassian Modules over Non-primitive Dedekind Prime Rings

Askar Tuganbaev
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Abstract

A right $A$-module $M$ is said to be generalized bassian if the existence of an injective homomorphism $M\to M/N$ for some submodule $N$ of $M$ implies that $N$ is a direct summand of $M$. We describe singular generalized bassian modules over non-primitive Dedekind prime rings.\\ The study is supported by grant of Russian Science Foundation.

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Askar Tuganbaev. 2026-01-22. Generalized Bassian Modules over Non-primitive Dedekind Prime Rings. https://arxiv.org/abs/2601.16201

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