Marco A. P. Bullones

Introduction to Abelian Model Structures and Gorenstein Homological Dimensions (eBook, PDF)

• Format: PDF

Produktbeschreibung

This book provides a starting point to study the relationship between homological and homotopical algebra. It shows how to obtain new model structures in homological algebra by constructing a pair of compatible complete cotorsion pairs related to a specific homological dimension and then applying the Hovey Correspondence to generate an abelian model structure. The book presents new results in relative homological algebra and model category theory, re-proves some established results, and proves folklore results that are difficult to find in the literature.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 370
• Erscheinungstermin: 19. August 2016
• Englisch
• ISBN-13: 9781498725354
• Artikelnr.: 45681343

Autorenporträt

Dr. Marco A. Pérez is a postdoctoral fellow at the Mathematics Institute of the Universidad Nacional Autónoma de México, where he works on Auslander-Buchweitz approximation theory and cotorsion pairs. He was previously a postdoctoral associate at the Massachusetts Institute of Technology, working on category theory applied to communications and linguistics. Dr. Pérez's research interests cover topics in both category theory and homological algebra, such as model category theory, ontologies, homological dimensions, Gorenstein homological algebra, finitely presented modules, modules over rings with many objects, and cotorsion theories. He received his PhD in mathematics from the Université du Québec à Montréal in the spring of 2014.