Hom and Ext, revisited

DOI10.1016/j.jalgebra.2018.12.006zbMath1471.13026arXiv1710.05123OpenAlexW2963319703WikidataQ128687652 ScholiaQ128687652MaRDI QIDQ2219002

Mohammad Eghbali, Justin Lyle, Hailong Dao

Publication date: 18 January 2021

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

Full work available at URL: https://arxiv.org/abs/1710.05123

zbMATH Keywords

ExtHomtest for freeness

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Syzygies, resolutions, complexes and commutative rings (13D02) Regular local rings (13H05) Other special types of modules and ideals in commutative rings (13C13)

Related Items

Maximal Cohen–Macaulay tensor products and vanishing of Ext modules ⋮ Vanishing of (co)homology of Burch and related submodules ⋮ Auslander-Reiten conjecture and finite injective dimension of \(\operatorname{Hom}\) ⋮ Extremal growth of Betti numbers and trivial vanishing of (co)homology ⋮ Two generalizations of Auslander-Reiten duality and applications ⋮ Criteria for prescribed bound on projective dimension ⋮ On the freeness of dual semidualizing modules

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