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Introduction to Abelian Model Structures and Gorenstein Homological Dimensions (Hardcover) (Marco A.

Introduction to Abelian Model Structures and Gorenstein Homological Dimensions (Hardcover) (Marco A. - image 1 of 1

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Based on the author's Ph.D. thesis, this text explains 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 apply the Hovey Correspondence to generate an Abelian model structure. It explains the definitions and notations of the universal constructions used in category theory, the Eklof and Trlifaj theorem in Grothendieck categories and Hovey's work connecting the theories of cotorsion pairs and model categories, and the relationship between model structures and classical and Gorenstein homological dimensions and special types of Grothendieck categories known as Gorenstein categories. Annotation ©2016 Ringgold, Inc., Portland, OR (protoview.com)
Number of Pages: 343
Genre: Mathematics
Series Title: Monographs and Research Notes in Mathematics
Format: Hardcover
Publisher: Taylor & Francis
Author: Marco A. Perez
Language: English
Street Date: July 21, 2016
TCIN: 52240347
UPC: 9781498725347
Item Number (DPCI): 248-44-2757
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