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Methods of Graded Rings / by Constantin Nastasescu, Freddy Van Oystaeyen.

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Math/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2192-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2366,2368-2379,2381-2382 2385,2388-2389
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Format:
Book
Author/Creator:
Năstăsescu, C. (Constantin), 1943- author.
Oystaeyen, F. Van, 1947- author.
Contributor:
SpringerLink (Online service)
Series:
Lecture Notes in Mathematics, 0075-8434 ; 1836.
Lecture Notes in Mathematics, 0075-8434 ; 1836
Language:
English
Subjects (All):
Algebra.
Group theory.
Mathematical physics.
Associative Rings and Algebras.
Category Theory, Homological Algebra.
Group Theory and Generalizations.
Mathematical Methods in Physics.
Local Subjects:
Algebra.
Associative Rings and Algebras.
Category Theory, Homological Algebra.
Group Theory and Generalizations.
Mathematical Methods in Physics.
Physical Description:
1 online resource (XIII, 306 pages).
Contained In:
Springer eBooks
Place of Publication:
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2004.
System Details:
text file PDF
Summary:
The topic of this book, graded algebra, has developed in the past decade to a vast subject with new applications in noncommutative geometry and physics. Classical aspects relating to group actions and gradings have been complemented by new insights stemming from Hopf algebra theory. Old and new methods are presented in full detail and in a self-contained way. Graduate students as well as researchers in algebra, geometry, will find in this book a useful toolbox. Exercises, with hints for solution, provide a direct link to recent research publications. The book is suitable for courses on Master level or textbook for seminars.
Contents:
The Category of Graded Rings
The Category of Graded Modules
Modules over Stronly Graded Rings
Graded Clifford Theory
Internal Homogenization
External Homogenization
Smash Products
Localization of Graded Rings
Application to Gradability
Appendix A: Some Category Theory
Appendix B: Dimensions in an Abelian Category
Bibliography
Index.
Other Format:
Printed edition:
ISBN:
9783540409984
Access Restriction:
Restricted for use by site license.

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