Introduction to Abelian Model Structures and Gorenstein Homological Dimensions

DOI10.1201/9781315370552zbMath1350.13003OpenAlexW4248705540MaRDI QIDQ2803235

Marco A. Pérez

Publication date: 4 May 2016

Published in: Industrial and Systems Engineering Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1201/9781315370552

zbMATH Keywords

projective dimensioninjective dimensionchain complexescotorsion pairsflat dimensionmodel theories

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Homological dimension (category-theoretic aspects) (18G20) Relative homological algebra, projective classes (category-theoretic aspects) (18G25) Research exposition (monographs, survey articles) pertaining to commutative algebra (13-02) Research exposition (monographs, survey articles) pertaining to category theory (18-02)

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GORENSTEIN MODULES AND GORENSTEIN MODEL STRUCTURES, Model structures and relative Gorenstein flat modules and chain complexes, Relative FP-injective and FP-flat complexes and their model structures, Weak $n$-injective and weak $n$-fat modules, New model structures and projective (injective) cotorsion pairs