Rings whose every right ideal is a finite direct sum of automorphism-invariant right ideals
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Publication:2191351
DOI10.1134/S0037446620020019zbMath1441.16002OpenAlexW3034712620MaRDI QIDQ2191351
Publication date: 24 June 2020
Published in: Siberian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0037446620020019
Injective modules, self-injective associative rings (16D50) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Ideals in associative algebras (16D25) Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. (16E60)
Cites Work
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- Rings and modules which are stable under automorphisms of their injective hulls.
- Right self-injective rings whose essential right ideals are two-sided
- Rings with each right ideal automorphism-invariant.
- On \(\Sigma\)-\(q\) rings.
- An example of a right \(q\)-ring
- Isomorphisms of formal matrix rings with zero trace ideals
- Additive unit structure of endomorphism rings and invariance of modules
- Automorphism-invariant non-singular rings and modules
- Automorphism-invariant modules satisfy the exchange property.
- Bezout modules and rings.
- Torsion-free modules and rings
- Algebras for which every indecomposable right module is invariant in its injective envelope
- Rings in which every right ideal is quasi-injective
- Semi-perfect \(q\)-rings
- Automorphism-invariant modules
- Automorphism-invariant semi-Artinian modules
- Non-local rings whose ideals are all quasi-injective: Addendum
- Some Results on Self-Injective Rings and Σ-CS Rings
- Injective and automorphism-invariant non-singular modules
- MODULES WHICH ARE INVARIANT UNDER AUTOMORPHISMS OF THEIR INJECTIVE HULLS
- On automorphism-invariant modules
- Additive Unit Representations in Endomorphism Rings and an Extension of a result of Dickson and Fuller
- Rings of Invariant Module Type and Automorphism-Invariant Modules
- Non-local rings whose ideals are all quasi-injective
- Automorphism-invariant modules.