Hereditary Noetherian rings

DOI10.1016/0021-8693(74)90087-8zbMath0284.16011OpenAlexW2030796741MaRDI QIDQ1845051

Abraham Zaks

Publication date: 1974

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(74)90087-8

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Module categories in associative algebras (16D90) Free, projective, and flat modules and ideals in associative algebras (16D40) Prime and semiprime associative rings (16N60) Divisibility, noncommutative UFDs (16U30)

Related Items (2)

Noetherian rings of injective dimension one which are orders in quasi-Frobenius rings. ⋮ Noetherian prime rings of krull dimension one

Cites Work

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• Injective modules over Noetherian rings
• Direct-sum representations of injective modules
• Non-commutative Dedekind rings
• Comments on the functor Ext
• Modules over Dedekind prime rings
• Hereditary Noetherian prime rings
• Serial rings
• Duality of cyclic modules
• Restricted left principal ideal rings
• On the ubiquity of Gorenstein rings
• Commutative rings with restricted minimum condition
• Über injektive Moduln
• The Structure of Prime Rings Under Ascending Chain Conditions
• Finitistic Dimension and a Homological Generalization of Semi-Primary Rings
• Some Properties of Noetherian Domains of Dimension One
• Injective Dimension in Noetherian Rings
• Rings with Zero Right and Left Singular Ideals
• Torsion Modules Over Free Ideal Rings
• Hereditary Local Rings
• Asano Orders
• Torsion Theories and Semihereditary Rings
• Stable module theory
• Duality in Noetherian Rings

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