Methods of Graded Rings

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 meth...

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Bibliographic Details
Main Authors: Nastasescu, Constantin, van Oystaeyen, Freddy (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2004, 2004
Edition:1st ed. 2004
Series:Lecture Notes in Mathematics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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100 1 |a Nastasescu, Constantin 
245 0 0 |a Methods of Graded Rings  |h Elektronische Ressource  |c by Constantin Nastasescu, Freddy van Oystaeyen 
250 |a 1st ed. 2004 
260 |a Berlin, Heidelberg  |b Springer Berlin Heidelberg  |c 2004, 2004 
300 |a XIII, 306 p  |b online resource 
505 0 |a 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 
653 |a Associative Rings and Algebras 
653 |a Mathematical Methods in Physics 
653 |a Homological algebra 
653 |a Group theory 
653 |a Rings (Algebra) 
653 |a Algebra 
653 |a Associative rings 
653 |a Category Theory, Homological Algebra 
653 |a Physics 
653 |a Group Theory and Generalizations 
653 |a Algebra 
653 |a Category theory (Mathematics) 
700 1 |a van Oystaeyen, Freddy  |e [author] 
041 0 7 |a eng  |2 ISO 639-2 
989 |b SBA  |a Springer Book Archives -2004 
490 0 |a Lecture Notes in Mathematics 
856 4 0 |u https://doi.org/10.1007/b94904?nosfx=y  |x Verlag  |3 Volltext 
082 0 |a 512 
520 |a 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