Reducing invariants and total reflexivity

DOI10.1215/00192082-8303469zbMath1441.13039arXiv1905.04731OpenAlexW3022407561MaRDI QIDQ2188422

Olgur Celikbas, Tokuji Araya

Publication date: 11 June 2020

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.04731

zbMATH Keywords

totally reflexive moduleGorenstein dimension

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)

Related Items (3)

On the reducing projective dimension over local rings ⋮ Quasi-projective dimension ⋮ On reducing homological dimensions over Noetherian rings

Cites Work

• Homological invariants associated to semi-dualizing bimodules.
• Modules with reducible complexity
• Complete intersection dimension
• Gorenstein dimensions
• Semidualizing modules and the divisor class group
• On the growth of the Betti sequence of the canonical module
• Independence of the total reflexivity conditions for modules
• Eine Dualität zwischen den Funktoren Ext und Tor
• Gorenstein dimension and torsion of modules over commutative noetherian rings
• Remarks on a depth formula, a grade inequality and a conjecture of Auslander
• Rings with finite Gorenstein injective dimension
• G-Dimension.
• On G-Regular Local Rings
• Stable module theory
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