Criteria for prescribed bound on projective dimension

DOI10.1080/00927872.2021.1874004zbMath1471.13033OpenAlexW3128320189MaRDI QIDQ4994039

V. H. Jorge Pérez, Cleto B. Miranda-Neto

Publication date: 14 June 2021

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

Full work available at URL: https://doi.org/10.1080/00927872.2021.1874004

zbMATH Keywords

projective dimensionregular local ringsvanishing of Ext

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Projective and free modules and ideals in commutative rings (13C10) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Regular local rings (13H05)

Related Items (1)

Generalized local duality, canonical modules, and prescribed bound on projective dimension

Cites Work

• Unnamed Item
• Unnamed Item
• Gorenstein rings and modules with high numbers of generators
• On the generalized local cohomology and its duality
• Matlis duality and the width of a module
• Tensor products of perfect modules and maximal surjective Buchsbaum modules
• Complete intersection dimension
• Duality and vanishing of generalized local cohomology
• Support varieties and cohomology over complete intersections
• On a conjecture of Auslander and Reiten
• Hom and Ext, revisited
• Hilbert-Samuel functions of modules over Cohen-Macaulay rings
• The Auslander-Reiten conjecture for Gorenstein rings
• On a Generalized Version of the Nakayama Conjecture
• Remarks on a depth formula, a grade inequality and a conjecture of Auslander
• Symmetry in the vanishing of Ext over Gorenstein rings
• Vanishing of cohomology over Gorenstein rings of small codimension
• On the Auslander–Reiten conjecture for Cohen–Macaulay local rings
• Finite Projective Dimension and the Vanishing of Ext_R(M,M)
• Vanishing of Ext and Tor over fiber products

This page was built for publication: Criteria for prescribed bound on projective dimension