On semi-artinian modules and injectivity conditions

DOI10.1017/S0013091500022999zbMath0855.16003OpenAlexW2082801450WikidataQ123230811 ScholiaQ123230811MaRDI QIDQ4892730

John Clark, Patrick F. Smith

Publication date: 27 January 1997

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500022999

zbMATH Keywords

finitely generated modulessimple right modulesquasi-Frobenius ringsmaximal submodulesfinite length modulesright self-injective ringsessential soclesemi-Artinian modulessemi-Noetherian modules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Quasi-Frobenius rings (16L60) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Artinian rings and modules (associative rings and algebras) (16P20) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (6)

D-Extending Modules ⋮ On Semi-Primary Self-Injective Rings and Faith's Quasi-Frobenius Conjecture ⋮ WHEN SELF-INJECTIVE RINGS ARE QF: A REPORT ON A PROBLEM ⋮ Neat-flat Modules ⋮ Some Results on Self-Injective Rings and Σ-CS Rings ⋮ Rings whose modules have grade zero.

Cites Work

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• Classical rings
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• Linear compactness and Morita duality
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• Injective Modules Over Prufer Rings
• Finitistic Dimension and a Homological Generalization of Semi-Primary Rings
• On a Question of Faith in Commutative Endomorphism Rings
• Rings with dcc on essential left ideals
• INJECTIVE MODULES FOR GROUP RINGS OF POLYCYCLIC GROUPS I
• INJECTIVE MODULES FOR GROUP RINGS OF POLYCYCLIC GROUPS II
• A NOTE ON PERFECT SELF-INJECTIVE RINGS
• The Dual of the Notion of “Finitely Generated”
• On Co-Noetherian Rings
• Quasi-Injective and Quasi-Projective Modules Over Hereditary Noetherian Prime Rings

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