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Zustand: New. A functional identity can be informally described as an identical relation involving arbitrary elements in an associative ring together with arbitrary (unknown) functions. This book offers an account of the general FI theory, which is based on the concept of a d-free set. It provides various constructions and concrete examples of d-free sets. Series: Frontiers in Mathematics. Num Pages: 284 pages, biography. BIC Classification: PBKF. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 244 x 170 x 15. Weight in Grams: 460. . 2007. 2007th Edition. paperback. . . . . Books ship from the US and Ireland.
Sprache: Englisch
Verlag: Springer, Basel, Birkhäuser, 2007
ISBN 10: 376437795X ISBN 13: 9783764377953
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - A functional identity (FI) can be informally described as an identical relation involving(arbitrary)elementsinaringtogetherwith('unknown')functions;more precisely,elementsaremultipliedbyvaluesoffunctions.ThegoalofthegeneralFI theory is to determine the form of these functions, or, when this is not possible, to determine the structure of the ring admitting the FI in question. This theory has turnedouttobeapowerfultoolfor solvingavarietyofproblemsindi erentareas. It is not always easy to recognize that the problem in question can be interpreted through some FI; often this is the most intriguing part of the process. But once one succeeds in discovering an FI that ts into the general theory, this abstract theory then as a rule yields the desired conclusions at a high level of generality. Among classical algebraic concepts, the one of a polynomial identity (PI) seems to be, at least on the surface, the closest one to the concept of an FI. In fact, a PI is formally just a very special example of an FI (where functions are polynomials).However,the theoryof PI'shasquite di erent goalsthan the theory of FI's. One could say, especially from the point of view of applications, that the twotheoriesarecomplementaryto eachother.Under somenaturalrestrictions,PI theorydealswithringsthatareclosetoalgebrasoflowdimensions,whi leFItheory gives de nitive answers in algebras of su ciently large or in nite dimensions.
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Taschenbuch. Zustand: Neu. Functional Identities | Mataj Bresar (u. a.) | Taschenbuch | xii | Englisch | 2007 | Birkhäuser | EAN 9783764377953 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.