On purity with respect to modules of flat dimension at most one

MaRDI QIDQ6550492

Youssef Najem, Mouhssine El-Arabi

Publication date: 5 June 2024

Published in: Moroccan Journal of Algebra and Geometry with Applications (Search for Journal in Brave)

zbMATH Keywords

global dimensionpure projective modulepure injective moduleAuslander-Bridger transpose

Mathematics Subject Classification ID

Relative homological algebra, projective classes (category-theoretic aspects) (18G25)

Cites Work

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• Relative homological algebra
• Purity and algebraic compactness for modules
• Purity, algebraic compactness, direct sum decompositions, and representation type
• RELATIVE HOMOLOGICAL ALGEBRA IN CATEGORIES OF MODULES
• On pure global dimension of locally finitely presented Grothendieck categories
• On rings whose finitely generated flat submodules of free modules are finitely presented

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