A structure theorem for type 3, grade 3 perfect ideals

DOI10.1016/0021-8693(89)90047-1zbMath0679.13001OpenAlexW2003634824MaRDI QIDQ1124637

Rafael Sánchez

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90047-1

zbMATH Keywords

minimal free resolutionminimal set of generatorsregular sequencesalmost complete intersectionnoetherian local ringperfect ideals

Mathematics Subject Classification ID

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Commutative Noetherian rings and modules (13E05) Structure, classification theorems for modules and ideals in commutative rings (13C05) Ideals and multiplicative ideal theory in commutative rings (13A15) Regular local rings (13H05)

Related Items (5)

The Structure Theorem for Complete Intersections of Grade 4 ⋮ Linkage classes of grade 3 perfect ideals ⋮ The Structure for Some Classes of Grade Three Perfect Ideals ⋮ Structure Theory for Grade Three Perfect Ideals Associated with Some Matrices ⋮ Structure theory for some classes of grade three perfect ideals

Cites Work

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• A general resolution for grade four Gorenstein ideals
• Some structure theorems for finite free resolutions
• Liaison des variétés algébriques. I
• What makes a complex exact?
• Structure Theory for a Class of Grade Four Gorenstein Ideals
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
• Cohen-Macaulay Rings, Invariant Theory, and the Generic Perfection of Determinantal Loci

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