Commutative torsion stable rings

DOI10.1016/0022-4049(84)90011-2zbMath0543.13009OpenAlexW2086905998MaRDI QIDQ795875

Jay Shapiro, Robert F. Damiano

Publication date: 1984

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(84)90011-2

zbMATH Keywords

stable ringfinite dimensionNoetherianness

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative Noetherian rings and modules (13E05) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Injective and flat modules and ideals in commutative rings (13C11)

Related Items (8)

Trivial Extensions Defined by Coherent-like Conditions ⋮ Idealization of a module ⋮ Stability of abelian groups in a topos of sheaves ⋮ On a class of Ikeda-Nakayama rings ⋮ Sufficient Condition to Resolve Costa's First Conjecture ⋮ Unnamed Item ⋮ Trivial extensions subject to semi-regularity and semi-coherence ⋮ On Valuation Rings

Cites Work

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• Schranken für die Gabriel- und Krull-Dimension Idealisator-ähnlicher Ringerweiterungen
• The Gabriel dimension of a module
• A generalization of quasi-Frobenius rings
• On the Dimension of Modules and Algebras (III): Global Dimension
• Quotient Rings of a Ring and a Subring Which Have a Common Right Ideal
• On consequences of stability
• On Stable Noetherian Rings
• The Dual of the Notion of “Finitely Generated”

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