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＜E-Book＞
Methods of Graded Rings / by Constantin Nastasescu, Freddy van Oystaeyen
(Lecture Notes in Mathematics. ISSN:16179692 ; 1836)

Edition	1st ed. 2004.
Publisher	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
Year	2004
Size	XIII, 306 p : online resource
Authors	*Nastasescu, Constantin author van Oystaeyen, Freddy author SpringerLink (Online service)
Subjects	LCSH:Algebra LCSH:Associative rings LCSH:Associative algebras LCSH:Algebra, Homological LCSH:Group theory LCSH:Mathematical physics FREE:Algebra FREE:Associative Rings and Algebras FREE:Category Theory, Homological Algebra FREE:Group Theory and Generalizations FREE:Mathematical Methods in Physics
Notes	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 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 HTTP:URL=https://doi.org/10.1007/b94904

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