Gorenstein global dimensions relative to balanced pairs

DOI10.3934/ERA.2020082zbMath1459.16006OpenAlexW3046426369MaRDI QIDQ2220679

Yuxian Geng, Rongmin Zhu, Haiyu Liu

Publication date: 25 January 2021

Published in: Electronic Research Archive (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/era.2020082

zbMATH Keywords

global dimensionabelian categoryhomological dimensionbalanced pairGorenstein subcategory

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Homological dimension (category-theoretic aspects) (18G20) Abelian categories, Grothendieck categories (18E10) Homological dimension in associative algebras (16E10)

Related Items (2)

Frobenius functors and Gorenstein homological properties ⋮ Unnamed Item

Cites Work

• Gorenstein categories \(\mathcal G(\mathscr X,\mathscr Y,\mathscr Z)\) and dimensions
• Applications of balanced pairs
• Relative homological algebra. Vol. 2
• Homotopy equivalences induced by balanced pairs
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• Gorenstein homological dimensions.
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• On the stability question of Gorenstein categories
• Model structures on modules over Ding-Chen rings.
• On the finiteness of Gorenstein homological dimensions
• Proper resolutions and Gorenstein categories
• On Stability of Gorenstein Categories
• On pure global dimension of locally finitely presented Grothendieck categories
• The homological theory of contravariantly finite subcategories:auslander-buchweitz contexts, gorenstein categories and (co-)stabilization
• Balanced pairs induce recollements
• Balanced pairs, cotorsion triplets and quiver representations
• On F-Gorenstein dimensions
• Stability of Gorenstein categories

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