The recollements of abelian categories: cotorsion dimensions and cotorsion triples
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Publication:2151485
DOI10.1007/s41980-021-00557-zzbMath1495.16007OpenAlexW3163362835MaRDI QIDQ2151485
Publication date: 1 July 2022
Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s41980-021-00557-z
Homological dimension (category-theoretic aspects) (18G20) Abelian categories, Grothendieck categories (18E10) Homological dimension in associative algebras (16E10)
Cites Work
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- Reducing homological conjectures by \(n\)-recollements
- Homological theory of recollements of abelian categories
- Recollements and tilting objects
- Homotopy equivalences induced by balanced pairs
- Recollements of module categories
- Elementary construction of perverse sheaves
- Torsion pairs in recollements of abelian categories
- Cotorsion pairs in categories of quiver representations
- Cotorsion pairs and approximation classes over formal triangular matrix rings
- Approximations and endomorphism algebras of modules.
- Flat covers in abelian and in non-abelian categories
- Cotorsion Pairs in a Recollement of Triangulated Categories
- Good tilting modules and recollements of derived module categories
- Gorenstein global dimension of recollements of abelian categories
- Balanced pairs, cotorsion triplets and quiver representations
- The resolution dimensions with respect to balanced pairs in the recollement of abelian categories
- Applications of cotorsion triples
- Homological and homotopical aspects of torsion theories
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