Homological aspects of the dual Auslander transpose. II

DOI10.1215/21562261-3759504zbMath1394.16003arXiv1511.08667OpenAlexW2767446140MaRDI QIDQ522106

Xi Tang, Zhao Yong Huang

Publication date: 13 April 2017

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

Full work available at URL: https://arxiv.org/abs/1511.08667

zbMATH Keywords

bass classes(strong) \(\mathrm{Ext}\)-cograde(strong) \(\mathrm{Tor}\)-cograde\(\infty\)-\(\omega\)-cotorsion-free modules\(\mathcal{X}\)-injective dimension\(\mathcal{X}\)-projective dimensionbass injective dimensionsemidualizing bimodules

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Syzygies, resolutions, complexes in associative algebras (16E05) Relative homological algebra, projective classes (category-theoretic aspects) (18G25) Homological dimension in associative algebras (16E10)

Related Items (9)

Some characterizations of Auslander and Bass classes ⋮ Homological dimensions relative to preresolving subcategories. II ⋮ On the \(C\)-flatness and injectivity of character modules ⋮ Coreflexive modules and semidualizing modules with finite projective dimension ⋮ Homological invariants related to semidualizing bimodules ⋮ Two filtration results for modules with applications to the Auslander condition ⋮ A categorical approach to linkage ⋮ Left orthogonal classes of semidualizing bimodules ⋮ Cograde conditions and cotorsion pairs

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