Bullones - Introduction to Abelian model structures and Gorenstein homological dimensions

Introduction to Abelian
Model Structures and
Gorenstein Homological
Dimensions

MONOGRAPHS AND RESEARCH NOTES IN MATHEMATICS

Series Editors

John A. Burns

Thomas J. Tucker

Miklos Bona

Michael Ruzhansky

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MONOGRAPHS AND RESEARCH NOTES IN MATHEMATICS

Marco A. Prez

Instituto de Matemticas
Universidad Nacional Autnoma de Mxico
Mexico City, Mexico

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To the memory of my grandmother,
Mara Romelia.

The goal of this work is to obtain new model structures in homological algebra. The idea is to construct a pair of compatible complete cotorsion pairs

(, ) and (, )

related to a specific homological dimension, and then apply