عنوان

Derived categories /

(Number (ISBN

1108292828

(Number (ISBN

9781108292825

Erroneous ISBN

110841933X

Erroneous ISBN

9781108419338

Title Proper

Derived categories /

General Material Designation

[Book]

First Statement of Responsibility

Amnon Yekutieli.

Place of Publication, Distribution, etc.

New York, NY :

Name of Publisher, Distributor, etc.

Cambridge University Press,

Date of Publication, Distribution, etc.

2020.

Date

1911

Specific Material Designation and Extent of Item

1 online resource.

Series Title

Cambridge studies in advanced mathematics ;

Volume Designation

183

Text of Note

Includes bibliographical references and index.

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

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"--

Title

Derived categories

International Standard Book Number

9781108419338

Derived categories (Mathematics)

Derived categories (Mathematics)

Number

Edition

Class number

Yekutiely, Amnon

Date of Transaction

20200822150658.0

Cataloguing Rules (Descriptive Conventions))

rda

Electronic name

[Book]

Y