Rings whose ideals are close to automorphism-invariant

Adel Abyzov; Truong Cong Quynh; Askar Tuganbaev

Rings whose ideals are close to automorphism-invariant

Rings and Algebras 2022-12-13 v1

Authors: Adel Abyzov , Truong Cong Quynh , Askar Tuganbaev

Abstract

We consider rings whose one-sided ideals are close to automorphism-invariant modules. We study rings in which every (finitely generated) right ideal is automorphism invariant and rings in which every right ideal is a finite direct sum of automorphism invariant ideals. Connections between these classes of rings, $q$ -ring and $\Sigma$ - $q$ -rings are also considered

Keywords

commutative ring theory ideal theory monomial ideals

Cite

@article{arxiv.2212.05921,
  title  = {Rings whose ideals are close to automorphism-invariant},
  author = {Adel Abyzov and Truong Cong Quynh and Askar Tuganbaev},
  journal= {arXiv preprint arXiv:2212.05921},
  year   = {2022}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1503.02245

Rings whose ideals are close to automorphism-invariant

Abstract

Keywords

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