Strongly Gorenstein categories

DOI10.1142/S0219498822502139OpenAlexW3185959293MaRDI QIDQ5039757

Zenghui Gao, Wan Wu

Publication date: 4 October 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498822502139

zbMATH Keywords

proper resolutioncoproper coresolutionGorenstein subcategoryself-orthogonal subcategorystrongly Gorenstein subcategory

Mathematics Subject Classification ID

Resolutions; derived functors (category-theoretic aspects) (18G10) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Relative homological algebra, projective classes (category-theoretic aspects) (18G25)

Cites Work

• \(\mathcal W\)-Gorenstein modules
• Strongly Gorenstein projective, injective, and flat modules
• Strongly Gorenstein projective, injective and flat modules.
• Gorenstein homological dimensions.
• Gorenstein dimensions
• Gorenstein injective and projective modules
• Relative homological algebra
• Proper resolutions and Gorenstein categories
• Strongly W-Gorenstein modules
• One-sided Gorenstein subcategories
• WEAK GORENSTEIN PROJECTIVE, INJECTIVE AND FLAT MODULES
• Stability of Gorenstein categories
• Stable module theory
• Covers and Envelopes byV-Gorenstein Modules

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