\(\mathcal T_C\)-Gorenstein projective, \(\mathcal L_C\)-Gorenstein injective and \(\mathcal H_C\)-Gorenstein flat modules

DOI10.1007/S11401-013-0811-YzbMath1291.13023OpenAlexW2323442762WikidataQ114222479 ScholiaQ114222479MaRDI QIDQ2448464

Xiaoguang Yan, Xiaosheng Zhu, Zhen Zhang

Publication date: 30 April 2014

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-013-0811-y

zbMATH Keywords

Bass classsemidualizing moduleAuslander classprecoverpreenvelopeFoxby equivalence\({\mathbf H}_{C}\)-flat module\({\mathbf L}_{C}\)-Gorenstein injective module\({\mathbf T}_{C}\)-Gorenstein projective module

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) Homological dimension and commutative rings (13D05) Syzygies, resolutions, complexes and commutative rings (13D02) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07)

Related Items (2)

The adjoint cotranspose of modules with respect to subcategories ⋮ Relative transpose and its dual with respect to a bimodule

Cites Work

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• Gorenstein projective dimension with respect to a semidualizing module
• Tate cohomology with respect to semidualizing modules
• Foxby equivalence over associative rings.
• Gorenstein homological dimensions.
• Gorenstein dimensions
• Gorenstein Modules and Related Modules.
• Foxby duality and Gorenstein injective and projective modules
• Homological aspects of semidualizing modules
• Stability of Gorenstein categories

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