Commutative Extensions by Canonical Modules are Gorenstein Rings

DOI10.2307/2039380zbMath0271.13013OpenAlexW4246513693MaRDI QIDQ3215342

Robert M. Fossum

Publication date: 1973

Full work available at URL: https://doi.org/10.2307/2039380

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Commutative Noetherian rings and modules (13E05)

Related Items

Cyclic Purity Versus Purity in Excellent Noetherian Rings ⋮ Cremona transformations and special double structures ⋮ A construction of Gorenstein rings ⋮ Cohen-Macaulay and Gorenstein finitely graded rings ⋮ On graded coherent-like properties in trivial ring extensions ⋮ Amalgamated duplication of the Banach algebra 𝔄 along a 𝔄-bimodule 𝒜 ⋮ On the finiteness of Ext-indices of ring extensions ⋮ The amalgamated duplication of a ring along a multiplicative-canonical ideal ⋮ \(K3\) double structures on Enriques surfaces and their smoothings ⋮ Properties of chains of prime ideals in an amalgamated algebra along an ideal ⋮ Paramétrisation des courbes multiples primitives ⋮ Trivial extensions subject to semi-regularity and semi-coherence ⋮ Ring and Semigroup Constructions

Cites Work

• Unnamed Item
• Trivial extensions of Abelian categories. Homological algebra of trivial extensions of Abelian categories with applications to ring theory
• Gorenstein modules
• Der kanonische Modul eines Cohen-Macaulay-Rings. (The canonical moduls of a Cohen-Macaulay-ring)
• Algebraic De Rham cohomology
• On the ubiquity of Gorenstein rings
• Gorenstein Modules and Related Modules.
• The Converse to a Theorem of Sharp on Gorenstein Modules