Rings for which every cyclic module is dual automorphism-invariant

DOI10.1142/S021949881650078XzbMath1357.16007MaRDI QIDQ2801825

Truong Cong Quynh, Nguyen Thi Thu Ha, Muhammet Tamer Koşan

Publication date: 22 April 2016

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

cyclic modulesdual automorphism-invariant modulessemiperfect ring\(a\)-ring\(q\)-ring\(q^\ast\)-ring

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Units, groups of units (associative rings and algebras) (16U60)

Related Items (6)

Automorphism liftable modules ⋮ Unnamed Item ⋮ Rings whose cyclics are D3-modules ⋮ The dual Schröder-Bernstein problem for modules ⋮ Lifting of automorphisms of factor modules ⋮ Modules which are invariant under nilpotents of their envelopes and covers

Cites Work

• Modules which are coinvariant under automorphisms of their projective covers.
• Rings with each right ideal automorphism-invariant.
• Quasi-projective modules over prime hereditary Noetherian V-rings are projective or injective.
• When are proper cyclics injective?
• MODULES WHICH ARE INVARIANT UNDER AUTOMORPHISMS OF THEIR INJECTIVE HULLS
• Rings of Invariant Module Type and Automorphism-Invariant Modules
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• Unnamed Item

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