POWERS OF THE MAXIMAL IDEAL AND VANISHING OF (CO)HOMOLOGY

DOI10.1017/S0017089519000466zbMath1451.13053arXiv1901.04108MaRDI QIDQ5140592

Olgur Celikbas, Ryo Takahashi

Publication date: 16 December 2020

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.04108

zbMATH Keywords

strongly rigidTor-rigid

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Torsion modules and ideals in commutative rings (13C12)

Related Items (4)

On an example concerning the second rigidity theorem ⋮ Vanishing of (co)homology of Burch and related submodules ⋮ Serre's condition for tensor products and \(n\)-Tor-rigidity of modules ⋮ On one-dimensional local rings and Berger’s conjecture

Cites Work

• Unnamed Item
• Testing for the Gorenstein property
• On the (non)rigidity of the Frobenius endomorphism over Gorenstein rings
• Modules over unramified regular local rings
• Tensor products of modules and the rigidity of Tor
• On the ideal case of a conjecture of Auslander and Reiten
• Homological dimensions of rigid modules
• Homological dimensions and Macaulay rings
• Gorenstein dimension and torsion of modules over commutative noetherian rings
• Vanishing of tor and torsion in tensor products
• On the Ideal Case of a Conjecture of Huneke and Wiegand

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