Depth Formula via Complete Intersection Flat Dimension

DOI10.1080/00927872.2010.514875zbMath1253.13015arXiv1008.1637OpenAlexW2962972280MaRDI QIDQ2902247

Tirdad Sharif, Siamak Yassemi, Parviz Sahandi

Publication date: 17 August 2012

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

Full work available at URL: https://arxiv.org/abs/1008.1637

zbMATH Keywords

depth formulacomplete intersection flat dimension

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Derived categories and commutative rings (13D09)

Related Items (7)

On the depth and reflexivity of tensor products ⋮ Relations between semidualizing complexes ⋮ A study of Tate homology via the approximation theory with applications to the depth formula ⋮ Vanishing of Tor, and why we care about it ⋮ Vanishing of Tate homology and depth formulas over local rings ⋮ Complete intersection dimensions and Foxby classes ⋮ Cohen-Macaulay homological dimensions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The depth formula for modules with reducible complexity
• Complete intersection dimensions and Foxby classes
• Homological dimensions of unbounded complexes
• Bounded complexes of flat modules
• Depth for complexes, and intersection theorems
• Tensor products of modules and the rigidity of Tor
• The theory of \(L\)-complexes and weak liftings of complexes
• Free resolutions and change of rings
• Complete intersection dimension
• Gorenstein dimensions
• Restricted homological dimensions and Cohen-Macaulayness
• A generalization of the Auslander-Buchsbaum formula
• Relative homological algebra
• Ascent Properties of Auslander Categories
• Remarks on a depth formula, a grade inequality and a conjecture of Auslander

This page was built for publication: Depth Formula via Complete Intersection Flat Dimension