Modules over strongly prime rings

DOI10.1142/S0219498815500760zbMath1335.16003MaRDI QIDQ4983070

Askar A. Tuganbaev

Publication date: 14 April 2015

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

zbMATH Keywords

quasi-injective modulesautomorphism-invariant modulesCS-modulesstrongly prime ringsautomorphisms of injective envelopes

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Prime and semiprime associative rings (16N60) Automorphisms and endomorphisms (16W20) Other classes of modules and ideals in associative algebras (16D80)

Related Items (5)

Modules whose injectivity domains are restricted to semi-artinian modules ⋮ When socles split in injectivity domains of modules ⋮ Automorphism-extendable and endomorphism-extendable modules ⋮ Extending and lifting of endomorphisms and automorphisms of modules over non-primitive HNP rings ⋮ Modules that are invariant with respect to automorphisms and idempotent endomorphisms of their hulls and covers

Cites Work

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• Rings and modules which are stable under automorphisms of their injective hulls.
• Automorphism-invariant modules satisfy the exchange property.
• Algebras for which every indecomposable right module is invariant in its injective envelope
• Quasi-Injective and Pseudo-Infective Modules
• Modules which are invariant under monomorphisms of their injective hulls

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