Generalized Bassian Modules over Non-primitive Dedekind Prime Rings

Askar Tuganbaev

Generalized Bassian Modules over Non-primitive Dedekind Prime Rings

Rings and Algebras 2026-01-23 v1

Authors: Askar Tuganbaev

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.

Keywords

module theory

Cite

@article{arxiv.2601.16201,
  title  = {Generalized Bassian Modules over Non-primitive Dedekind Prime Rings},
  author = {Askar Tuganbaev},
  journal= {arXiv preprint arXiv:2601.16201},
  year   = {2026}
}

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