Askar Tuganbaev

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20222026

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math.RA2026

Seminoetherian Modules over Non-Primitive HNP rings

Askar Tuganbaev

We study the structure of seminoetherian modules. Seminoetherian modules over non-primitive hereditary noetherian prime rings are completely described.

math.RA2026

Generalized Bassian Modules over Non-primitive Dedekind Prime Rings

Askar Tuganbaev

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…