عنوان
پدید آورنده
موضوع
رده
QA169 .Y45 2020
QA169
.
Y45
2020
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9781108419338
Erroneous ISBN
9781108292825
NATIONAL BIBLIOGRAPHY NUMBER
Number
E2968
LANGUAGE OF THE ITEM
.Language of Text, Soundtrack etc
انگلیسی
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Derived categories
First Statement of Responsibility
Amnon Yekutieli.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Cambridge, NY.
Name of Publisher, Distributor, etc.
Cambridge University Press
Date of Publication, Distribution, etc.
2020.
SERIES
Series Title
(Cambridge studies in advanced mathematics
Volume Designation
183)
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and index.
CONTENTS NOTE
Text of Note
Basic facts on categories -- Abelian categories and additive functors -- Differential graded algebra -- Translations and standard triangles -- Triangulated categories and functors -- Localization of categories -- The derived category D(A, M) -- Derived functors -- DG and triangulated bifunctors -- Resolving subcategories of K(A, M) -- Existence of resolutions -- Adjunctions, equivalences and cohomological dimension -- Dualizing complexes over commutative rings -- Perfect and tilting DG modules over NC DG rings -- Algebraically graded noncommutative rings -- Derived torsion over NC graded rings -- Balanced dualizing complexes over NC graded rings -- Rigid noncommutative dualizing complexes.
0
SUMMARY OR ABSTRACT
Text of Note
"There have been remarkably few systematic expositions of the theory of derived categories since its inception in the work of Grothendieck and Verdier in the 1960s. This book is the first in-depth treatment of this important part (or component) of homological algebra. It carefully explains the foundations in detail before moving on to key applications in commutative and noncommutative algebra, many otherwise unavailable outside of research articles. These include commutative and noncommutative dualizing complexes, perfect DG modules, and tilting DG bimodules. Written with graduate students in mind, the emphasis here is on explicit constructions (with many examples and exercises) as opposed to axiomatics, with the goal of demystifying this difficult subject. Beyond serving as a thorough introduction for students, it will serve as an important reference for researchers in algebra, geometry and mathematical physics"--
TOPICAL NAME USED AS SUBJECT
Entry Element
Derived categories (Mathematics)
DEWEY DECIMAL CLASSIFICATION
Edition
23
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA169
Book number
.
Y45
2020
PERSONAL NAME - PRIMARY RESPONSIBILITY
Entry Element
Yekutiely, Amnon,
ORIGINATING SOURCE
Country
Iran
Agency
University of Tehran. Library of College of Science
Date of Transaction
20191227075621.0
Cataloguing Rules (Descriptive Conventions))
rda
ELECTRONIC LOCATION AND ACCESS
Date and Hour of Consultation and Access
UT_SCI_BL_DB_1003226_0001.pdf
e
BL
278840
a
Y
