Some restrictions on the maps in minimal resolutions

DOI10.1006/jabr.1997.7310zbMath0909.13008OpenAlexW2030065031MaRDI QIDQ1265514

Lee, Kisuk, Jee Heub Koh

Publication date: 8 April 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7310

zbMATH Keywords

characteristic \(p\)minimal free resolutionsyzygy modules

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Syzygies, resolutions, complexes and commutative rings (13D02) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (15)

Frobenius and homological dimensions of complexes ⋮ Detecting finite flat dimension of modules via iterates of the Frobenius endomorphism ⋮ Test modules, weakly regular homomorphisms and complete intersection dimension ⋮ Reductions towards a characteristic free proof of the Canonical Element Theorem ⋮ Pure subrings of regular local rings, endomorphism rings and Frobenius morphisms ⋮ Frobenius criteria of freeness and Gorensteinness ⋮ Characterizing Gorenstein rings using contracting endomorphisms ⋮ New invariants of Noetherian local rings ⋮ Free summands of syzygies of modules over local rings ⋮ \(SC_r\) modules over local rings ⋮ Some Homological Criteria for Regular, Complete Intersection and Gorenstein Rings ⋮ Column Invariants Over Cohen–Macaulay Local Rings ⋮ Characterization of modules of finite projective dimension via Frobenius functors ⋮ A finiteness property of infinite resolutions ⋮ Regularity over homomorphisms and a Frobenius characterization of Koszul algebras

Cites Work

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• Finite super height of a homogeneous ideal in \({\mathbb{Z}}^ n\)-graded extensions
• Minimal injective resolutions with applications to dualizing modules and Gorenstein modules
• Retracts of polynomial rings
• On graded rings. I
• Ideals of minors in free resolutions
• On the Fitting ideals in free resolutions
• Ringe der Charakteristik p und Frobeniusfunktoren
• Canonical elements in local cohomology modules and the direct summand conjecture
• The Poincaré series of a local ring
• What makes a complex exact?
• Some Dimension 3 Cases of the Canonical Element Conjecture
• Homological Algebra on a Complete Intersection, with an Application to Group Representations
• Cofiniteness and vanishing of local cohomology modules
• The Category of Graded Modules.
• The structure of indecomposable injective modules.
• Two applications of dualizing complexes over local rings
• Cyclic Purity Versus Purity in Excellent Noetherian Rings
• A Note on the Monomial Conjecture
• Dualizing Complex and the Canonical Element Conjecture
• Dualizing Complex and the Canonical Element Conjecture II
• Characterizations of Regular Local Rings of Characteristic p

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