000 -LEADER |
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nam a22 4500 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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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 |