On modules with reducible complexity

DOI10.1007/s10468-019-09899-zzbMath1442.13043arXiv1812.10597OpenAlexW2906688366MaRDI QIDQ2199644

Naoki Taniguchi, Arash Sadeghi, Olgur Celikbas

Publication date: 11 September 2020

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.10597

zbMATH Keywords

complexitydepth formulareducible complexityvanishing of Ext and TorAuslander transpose

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Cohen-Macaulay modules (13C14) Other special types of modules and ideals in commutative rings (13C13)

Cites Work

• Unnamed Item
• Vanishing of Tate homology and depth formulas over local rings
• Modules over unramified regular local rings
• Modules with reducible complexity
• Modules of finite virtual projective dimension
• Representations, resolutions and Quillen's dimension theorem
• Periodicity in groups
• Depth for complexes, and intersection theorems
• Tensor products of modules and the rigidity of Tor
• Complete intersection dimension
• Support varieties and cohomology over complete intersections
• On the vanishing of (co)homology over local rings
• Boundedness Versus Periodicity Over Commutative Local Rings
• Remarks on a depth formula, a grade inequality and a conjecture of Auslander
• Stable module theory

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