Linkage of modules and the Serre conditions

DOI10.1016/j.jpaa.2015.02.027zbMath1317.13023arXiv1407.6544OpenAlexW2019678166MaRDI QIDQ2348118

Arash Sadeghi, Mohammad T. Dibaei

Publication date: 10 June 2015

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.6544

zbMATH Keywords

linkage of modulesSerre conditions

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Syzygies, resolutions, complexes and commutative rings (13D02) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items

Notes on linkage of modules with respect to a semidualizing module ⋮ Perfect linkage of Cohen-Macaulay modules over Cohen-Macaulay rings ⋮ Unnamed Item ⋮ On an example concerning the second rigidity theorem ⋮ The transpose of modules relative to subcategories ⋮ A study of Tate homology via the approximation theory with applications to the depth formula ⋮ On reduced G-perfection and horizontal linkage ⋮ Serre's condition for tensor products and \(n\)-Tor-rigidity of modules ⋮ Linkage of modules with respect to a semidualizing module ⋮ Remarks on torsionfreeness and its applications ⋮ Linkage of finite \(\mathsf{G}_{C}\)-dimension modules ⋮ $C$-CANONICAL MODULES ⋮ Associated primes and syzygies of linked modules ⋮ Linkage of ideals in integral domains ⋮ A categorical approach to linkage ⋮ Two generalizations of Auslander-Reiten duality and applications ⋮ Notes on linkage of modules ⋮ Linkage of modules by reflexive morphisms ⋮ On the freeness of dual semidualizing modules

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