Bass numbers in the graded case, \(a\)-invariant formulas, and an analogue of Faltings' annihilator theorem

DOI10.1006/jabr.1999.8013zbMath0947.13001OpenAlexW2043081887MaRDI QIDQ1969482

Rodney Y. Sharp

Publication date: 30 August 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.8013

zbMATH Keywords

injective resolutiongraded modulesNoetherian ringsBass numbers\(a\)-invariantirrelevant prime idealCastelnuovo irregularity

Mathematics Subject Classification ID

Graded rings (13A02) Syzygies, resolutions, complexes and commutative rings (13D02) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (11)

Minimal free resolutions and asymptotic behavior of multigraded regularity ⋮ Multigraded regularity, \(a^{*}\)-invariant and the minimal free resolution ⋮ Regularity,a*-Invariant and the Associated Graded Module to a Filtration ⋮ Asymptotic behaviour of arithmetically Cohen-Macaulay blow-ups ⋮ Local cohomology modules with respect to an ideal containing the irrelevant ideal ⋮ Supporting degrees of multi-graded local cohomology modules ⋮ A note on graded generalized local cohomology modules ⋮ Castelnuovo–Mumford Regularity and Cohomological Dimension ⋮ Tameness and Artinianness of Graded Generalized Local Cohomology Modules ⋮ Castelnuovo-Mumford regularity of simplicial toric rings. ⋮ Associated primes of graded components of local cohomology modules

Cites Work

• Über die Annulatoren lokaler Kohomologiegruppen
• On graded rings. I
• The largest non-vanishing degree of graded local cohomology modules
• On a-invariant formulas
• On the ubiquity of Gorenstein rings
• Asymptotic Depth and Connectedness in Projective Schemes
• When is the rees algebra cohen—macaulay?
• The Category of Graded Modules.
• The asymptotic nature of the analytic spread
• The diagonal subring and the Cohen-Macaulay property of a multigraded ring
• Castelnuovo Regularity and Graded Rings Associated to an Ideal
• Finitely Graded Local Cohomology and the Depths of Graded Algebras
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