Introduction to Abelian Model Structures and Gorenstein Homological Dimensions (Record no. 32798)

000 -LEADER
fixed length control field nam a22 4500
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 240218b xxu||||| |||| 00| 0 eng
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781498725347
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512.64
Item number PER
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Perez,Marco A
245 ## - TITLE STATEMENT
Title Introduction to Abelian Model Structures and Gorenstein Homological Dimensions
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Name of publisher, distributor, etc CRC Press,
Place of publication, distribution, etc Milton :
Date of publication, distribution, etc 2016
300 ## - PHYSICAL DESCRIPTION
Extent xxiv, 343 p. ;
Other physical details ill.,
Dimensions 23 cm
365 ## - TRADE PRICE
Price amount 150.00
Price type code £
Unit of pricing 110.20
490 ## - SERIES STATEMENT
Series statement Monographs and Research Notes in Mathematics
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Includes bibliographical references and index.
520 ## - SUMMARY, ETC.
Summary, etc As self-contained as possible, this book presents new results in relative homological algebra and model category theory. The author also re-proves some established results using different arguments or from a pedagogical point of view. In addition, he proves folklore results that are difficult to locate in the literature. Introduction to Abelian Model Structures and Gorenstein Homological Dimensions provides a starting point to study the relationship between homological and homotopical algebra, a very active branch of mathematics. The book 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 first part of the book introduces the definitions and notations of the universal constructions most often used in category theory. The next part presents a proof of the Eklof and Trlifaj theorem in Grothedieck categories and covers M. Hovey's work that connects the theories of cotorsion pairs and model categories. The final two parts study the relationship between model structures and classical and Gorenstein homological dimensions and explore special types of Grothendieck categories known as Gorenstein categories. As self-contained as possible, this book presents new results in relative homological algebra and model category theory. The author also re-proves some established results using different arguments or from a pedagogical point of view. In addition, he proves folklore results that are difficult to locate in the literature.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Algebra
Topical term or geographic name as entry element Mathematics
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Item type Books
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Permanent location Current location Date acquired Cost, normal purchase price Full call number Barcode Date last seen Koha item type
          DAIICT DAIICT 2024-02-11 150.00 512.64 PER 034660 2024-02-18 Books

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