Acceptable rings and homomorphic images of Gorenstein rings

DOI10.1016/0021-8693(77)90180-6zbMath0345.13011OpenAlexW2036011059WikidataQ123348928 ScholiaQ123348928MaRDI QIDQ1233052

Rodney Y. Sharp

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1016/0021-8693(77)90180-6

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Commutative Noetherian rings and modules (13E05) Regular local rings (13H05) Commutative ring extensions and related topics (13B99)

Related Items (16)

GORENSTEIN MODULES, FINITE INDEX, AND FINITE COHEN–MACAULAY TYPE ⋮ Openness of various loci over Noetherian rings ⋮ Relations between the type of a point on an algebraic variety and the type of its tangent cone ⋮ Faltings' annihilator theorem and \(t\)-structures of derived categories ⋮ ON GORENSTEINNESS OF HOPF MODULE ALGEBRAS ⋮ Artin approximation and formal fibres of local rings ⋮ On Northcott-Rees theorem on principal systems ⋮ On arithmetic Macaulayfication of Noetherian rings ⋮ A commutative Noetherian ring which possesses a dualizing complex is acceptable ⋮ \(SC_r\) modules over local rings ⋮ Finiteness of cousin cohomologies ⋮ Nagata's criterion and openness of loci for Gorenstein and complete intersection ⋮ Eine Bemerkung zur Theorie der P-Ringe ⋮ Cousin complexes and flat ring extensions ⋮ On annihilators and associated primes of local cohomology modules ⋮ On arithmetic macaulayfication of certain local rings

Cites Work

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• Homological dimensions and Macaulay rings
• Gorenstein modules
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• Affine duality and cofiniteness
• Der kanonische Modul eines Cohen-Macaulay-Rings. (The canonical moduls of a Cohen-Macaulay-ring)
• The Euler characteristic of a finitely generated module of finite injective dimension
• Les foncteurs dérivés de lim et leurs applications en théorie des modules
• Fibres formelles d'un anneau local noethérien
• ON GORENSTEIN MODULES OVER A COMPLETE COHEN-MACAULAY LOCAL RING
• The Converse to a Theorem of Sharp on Gorenstein Modules
• Finitely Generated Modules of Finite Injective Dimension Over Certain Cohen-Macaulay Rings^†
• On the Structure and Ideal Theory of Complete Local Rings

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