Self-injective rings

DOI10.2748/tmj/1178243253zbMath0167.30902OpenAlexW2010593036WikidataQ114040410 ScholiaQ114040410MaRDI QIDQ5971417

Toyonori Kato

Publication date: 1967

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178243253

zbMATH Keywords

associative rings

Related Items (19)

Some generalizations of $QF$-rings ⋮ Unnamed Item ⋮ Rings whose cyclic modules are pure-injective or pure-projective ⋮ MacWilliams extending conditions and quasi-Frobenius rings ⋮ The Goldie theorem for \(H\)-semiprime algebras. ⋮ Recent development of Faith conjecture ⋮ Equivalence between colocalization and localization in Abelian categories with applications to the theory of modules ⋮ Cogenerator Endomorphism Rings ⋮ Self-Injective Rings ⋮ On Semi-Primary Self-Injective Rings and Faith's Quasi-Frobenius Conjecture ⋮ Injective hulls of φ-trivial extensions of rings ⋮ WHEN SELF-INJECTIVE RINGS ARE QF: A REPORT ON A PROBLEM ⋮ Subrings of invariants for actions of finite-dimensional Hopf algebras ⋮ On the completion of modules in an additive topology ⋮ PF-modules ⋮ Sur la dualité de Morita. (On the Morita duality) ⋮ Semi-perfect \(q\)-rings ⋮ Injective Cogenerator Rings and a Theorem of Tachikawa ⋮ On selfinjective semiprimary rings

Cites Work

• Quasi-injective modules and their endomorphism rings
• A generalization of quasi-Frobenius rings
• Direct-sum representations of injective modules
• Duality of cyclic modules
• Finitistic Dimension and a Homological Generalization of Semi-Primary Rings
• On the Ring of Quotients of a Noetherian Ring
• Completely Faithful Modules and Self-Injective Rings
• On Continuous Rings and Self Injective Rings
• On Some Characteristic Properties of Quasi-Frobenius and Regular Rings
• Self-injective rings

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