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100   $a20121227d2004      u|             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aMethods of Graded Rings$b[electronic resource] /$fby Constantin Nastasescu, Freddy van Oystaeyen
205   $a1st ed. 2004.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2004.
215   $a1 online resource (XIII, 306 p.) 
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1836
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-540-20746-5 
320   $aIncludes bibliographical references (pages [291]-302) and index.
327   $aThe 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.
330   $aThe topic of this book, graded algebra, has developed in the past decade to a vast subject with new applications in noncommutative geometry and physics. Classical aspects relating to group actions and gradings have been complemented by new insights stemming from Hopf algebra theory. Old and new methods are presented in full detail and in a self-contained way. Graduate students as well as researchers in algebra, geometry, will find in this book a useful toolbox. Exercises, with hints for solution, provide a direct link to recent research publications. The book is suitable for courses on Master level or textbook for seminars.
410  0$aLecture Notes in Mathematics,$x0075-8434 ;$v1836
606   $aAlgebra
606   $aAssociative rings
606   $aRings (Algebra)
606   $aCategory theory (Mathematics)
606   $aHomological algebra
606   $aGroup theory
606   $aPhysics
606   $aAlgebra$3https://scigraph.springernature.com/ontologies/product-market-codes/M11000
606   $aAssociative Rings and Algebras$3https://scigraph.springernature.com/ontologies/product-market-codes/M11027
606   $aCategory Theory, Homological Algebra$3https://scigraph.springernature.com/ontologies/product-market-codes/M11035
606   $aGroup Theory and Generalizations$3https://scigraph.springernature.com/ontologies/product-market-codes/M11078
606   $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013
615  0$aAlgebra.
615  0$aAssociative rings.
615  0$aRings (Algebra).
615  0$aCategory theory (Mathematics).
615  0$aHomological algebra.
615  0$aGroup theory.
615  0$aPhysics.
615 14$aAlgebra.
615 24$aAssociative Rings and Algebras.
615 24$aCategory Theory, Homological Algebra.
615 24$aGroup Theory and Generalizations.
615 24$aMathematical Methods in Physics.
676   $a512.46
700   $aNastasescu$b Constantin$4aut$4http://id.loc.gov/vocabulary/relators/aut$054151
702   $avan Oystaeyen$b Freddy$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a996466476603316
996   $aMethods of graded rings$9262677
997   $aUNISA