Recollements induced by left Frobenius pairs

DOI10.1007/s40840-023-01617-9arXiv2109.00933MaRDI QIDQ6145537

Jiangsheng Hu, Yajun Ma, Rongmin Zhu, Dandan Sun

Publication date: 9 January 2024

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.00933

zbMATH Keywords

abelian categorycomma categoryrecollementleft Frobenius pair

Mathematics Subject Classification ID

Resolutions; derived functors (category-theoretic aspects) (18G10) Relative homological algebra, projective classes (category-theoretic aspects) (18G25) Functor categories, comma categories (18A25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Monic representations and Gorenstein-projective modules.
• Homological theory of recollements of abelian categories
• Trivial extensions of Abelian categories. Homological algebra of trivial extensions of Abelian categories with applications to ring theory
• Gorenstein homological dimensions.
• On the relative homology of cleft extensions of rings and abelian categories
• Bimodule monomorphism categories and RSS equivalences via cotilting modules
• Relative homological algebra
• Recollements of derived categories. I: Construction from exact contexts
• Recollements induced by monomorphism categories
• Special precovering classes in comma categories
• Cotorsion pairs and approximation classes over formal triangular matrix rings
• Singular compactness and definability for \(\Sigma\)-cotorsion and Gorenstein modules
• Gorenstein flat modules and dimensions over formal triangular matrix rings
• Approximations and endomorphism algebras of modules.
• Frobenius pairs in abelian categories. Frobenius pairs in abelian categories, correspondences with cotorsion pairs, exact model categories, and Auslander-Buchweitz contexts
• Gorenstein complexes and recollements from cotorsion pairs
• Good tilting modules and recollements of derived module categories
• Gorenstein Projective, Injective, and Flat Complexes
• The homological theory of maximal Cohen-Macaulay approximations
• Comma categories in representation theory
• Left triangulated categories arising from contravariantly finite subcategories
• Gorenstein projective modules and recollements over triangular matrix rings
• A representation-theoretic approach to recollements of abelian categories
• Homological and homotopical aspects of torsion theories
• Recollements associated to cotorsion pairs over upper triangular matrix rings

This page was built for publication: Recollements induced by left Frobenius pairs