Proper classes and Gorensteinness in extriangulated categories
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Publication:2300475
DOI10.1016/j.jalgebra.2019.12.028zbMath1433.18004arXiv1906.10989OpenAlexW3001776293WikidataQ112881720 ScholiaQ112881720MaRDI QIDQ2300475
Panyue Zhou, Dongdong Zhang, Jiangsheng Hu
Publication date: 27 February 2020
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.10989
Syzygies, resolutions, complexes in associative algebras (16E05) Homological dimension (category-theoretic aspects) (18G20) Abelian categories, Grothendieck categories (18E10) Chain complexes (category-theoretic aspects), dg categories (18G35)
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Cites Work
- Unnamed Item
- Unnamed Item
- Model structures on exact categories
- Gorenstein objects in triangulated categories
- Triangulated quotient categories revisited
- Cotorsion pairs, model category structures, and representation theory
- Gorenstein injective and projective modules
- Smashing subcategories and the telescope conjecture -- an algebraic approach
- Relative homological algebra and purity in triangulated categories
- Hearts of twin cotorsion pairs on extriangulated categories
- Exact categories
- The homological theory of contravariantly finite subcategories:auslander-buchweitz contexts, gorenstein categories and (co-)stabilization
- MODEL STRUCTURES ON TRIANGULATED CATEGORIES
- Stable module theory