The adjoint cotranspose of modules with respect to subcategories
DOI10.4064/cm7900-9-2019zbMath1494.18009OpenAlexW3031245719MaRDI QIDQ5037761
Guoqiang Zhao, Bo Zhang, Yuxiao Wang
Publication date: 4 March 2022
Published in: Colloquium Mathematicum (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4064/cm7900-9-2019
Bass classsemidualizing bimoduleGorenstein moduleAuslander classadjoint \(\mathcal{X}\)-cotransposeadjoint Gorenstein cotranspose
Module categories in associative algebras (16D90) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Relative homological algebra, projective classes (category-theoretic aspects) (18G25)
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Cites Work
- Stability of Gorenstein flat categories with respect to a semidualizing module
- Coxeter transformation and inverses of Cartan matrices for coalgebras.
- Gorenstein syzygy modules.
- Homological aspects of the dual Auslander transpose
- Foxby equivalence over associative rings.
- Relative transpose and its dual with respect to a bimodule
- Foxby equivalences associated to strongly Gorenstein modules
- \(\mathcal T_C\)-Gorenstein projective, \(\mathcal L_C\)-Gorenstein injective and \(\mathcal H_C\)-Gorenstein flat modules
- Rings Over Which the Class of Gorenstein Flat Modules is Closed Under Extensions
- Homological aspects of the adjoint cotranspose
- Auslander-Reiten duality for Grothendieck abelian categories
- Stability of Gorenstein categories
- Stable module theory
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