Depth formulas, restricted Tor-dimension under base change

DOI10.1216/RMJM/1181069847zbMath1089.13505OpenAlexW2041136674MaRDI QIDQ1768076

Siamak Yassemi, Tirdad Sharif

Publication date: 11 March 2005

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181069847

zbMATH Keywords

Auslander-Buchsbaum formulaflat dimensiondepth formulasrestricted Tor-dimension

Mathematics Subject Classification ID

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (5)

New characterizations of restricted injective dimensions for complexes ⋮ On the restricted projective dimension of complexes ⋮ Restricted projective, injective and flat complexes ⋮ On Restricted Injective Dimensions of Complexes ⋮ Cohen-Macaulay homological dimensions

Cites Work

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• Depth for complexes, and intersection theorems
• Cohen-Macaulay properties of ring homomorphisms
• Gorenstein dimensions
• Restricted homological dimensions and Cohen-Macaulayness
• A generalization of the Auslander-Buchsbaum formula
• Homological Dimension in Noetherian Rings.
• On Finite Weak and Injective Dimension
• Isomorphims between complexes with applications to the homological theory of modules.
• Almost finite modules

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