Ideal balanced pairs in extriangulated categories

DOI10.1007/s11425-022-2221-8MaRDI QIDQ6668577

Rongrong Xu, Xian-Hui Fu

Publication date: 22 January 2025

Published in: Science China. Mathematics (Search for Journal in Brave)

zbMATH Keywords

extriangulated categoryideal cotorsion pairideal balanced pairstrong-precovering ideal

Mathematics Subject Classification ID

Resolutions; derived functors (category-theoretic aspects) (18G10) Abelian categories, Grothendieck categories (18E10) Relative homological algebra, projective classes (category-theoretic aspects) (18G25) Derived categories, triangulated categories (18G80)

Cites Work

• Unnamed Item
• Homotopy equivalences induced by balanced pairs
• \(n\)-exangulated categories (I): definitions and fundamental properties
• Triangulated quotient categories revisited
• Phantom ideals and cotorsion pairs in extriangulated categories
• Relative homological algebra
• Lattice theoretic properties of approximating ideals
• Ideal cotorsion theories in triangulated categories
• Proper classes and Gorensteinness in extriangulated categories
• Ideal approximation theory
• Powers of the phantom ideal
• Ideal balanced pairs
• Applications of exact structures in abelian categories
• Intervals of s-torsion pairs in extriangulated categories with negative first extensions
• Balanced Pairs on Triangulated Categories

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