04099nam 22008415 450 99646647660331620200706111323.03-540-40998-X10.1007/b94904(CKB)1000000000230943(SSID)ssj0000324809(PQKBManifestationID)11282674(PQKBTitleCode)TC0000324809(PQKBWorkID)10321905(PQKB)11531360(DE-He213)978-3-540-40998-4(MiAaPQ)EBC6301097(MiAaPQ)EBC5579223(Au-PeEL)EBL5579223(OCoLC)56338003(PPN)155215884(EXLCZ)99100000000023094320121227d2004 u| 0engurnn|008mamaatxtccrMethods of Graded Rings[electronic resource] /by Constantin Nastasescu, Freddy van Oystaeyen1st ed. 2004.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2004.1 online resource (XIII, 306 p.) Lecture Notes in Mathematics,0075-8434 ;1836Bibliographic Level Mode of Issuance: Monograph3-540-20746-5 Includes bibliographical references (pages [291]-302) and index.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.Lecture Notes in Mathematics,0075-8434 ;1836AlgebraAssociative ringsRings (Algebra)Category theory (Mathematics)Homological algebraGroup theoryPhysicsAlgebrahttps://scigraph.springernature.com/ontologies/product-market-codes/M11000Associative Rings and Algebrashttps://scigraph.springernature.com/ontologies/product-market-codes/M11027Category Theory, Homological Algebrahttps://scigraph.springernature.com/ontologies/product-market-codes/M11035Group Theory and Generalizationshttps://scigraph.springernature.com/ontologies/product-market-codes/M11078Mathematical Methods in Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19013Algebra.Associative rings.Rings (Algebra).Category theory (Mathematics).Homological algebra.Group theory.Physics.Algebra.Associative Rings and Algebras.Category Theory, Homological Algebra.Group Theory and Generalizations.Mathematical Methods in Physics.512.46Nastasescu Constantinauthttp://id.loc.gov/vocabulary/relators/aut54151van Oystaeyen Freddyauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK996466476603316Methods of graded rings262677UNISA