Generalized Bassian Modules over Non-primitive Dedekind Prime Rings

Published 22 Jan 2026 in math.RA | (2601.16201v1)

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

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