Modules with extremal resolutions

DOI10.4310/MRL.1996.v3.n3.a3zbMath0867.13003OpenAlexW2324883346MaRDI QIDQ1815211

Luchezar L. Avramov

Publication date: 7 August 1997

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/mrl.1996.v3.n3.a3

zbMATH Keywords

complexityExthomotopy Lie algebraBass numbersBetti numbershomological curvatures

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Regular local rings (13H05)

Related Items (15)

Characterizations of regular local rings via syzygy modules of the residue field ⋮ Totally reflexive modules and Poincaré series ⋮ The set of semidualizing complexes is a nontrivial metric space ⋮ Bass and Betti numbers of \(A/I^n\) ⋮ Growth of Betti numbers of modules over generalized Golod rings ⋮ Vanishing of (co)homology of Burch and related submodules ⋮ Integrally closed \(\mathfrak{m}\)-primary ideals have extremal resolutions ⋮ Homological dimensions of Burch ideals, submodules and quotients ⋮ Burch ideals and Burch rings ⋮ Extremal growth of Betti numbers and trivial vanishing of (co)homology ⋮ Some criteria for regular and Gorenstein local rings via syzygy modules ⋮ Modules of infinite regularity over commutative graded rings ⋮ Homological dimensions of rigid modules ⋮ VANISHING OF (CO)HOMOLOGY OVER DEFORMATIONS OF COHEN-MACAULAY LOCAL RINGS OF MINIMAL MULTIPLICITY ⋮ Subcategories of singularity categories via tensor actions

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