Articoli correlati a Polynomial Identity Rings
Sinossi
A ring R satisfies a polynomial identity if there is a polynomial f in noncommuting variables which vanishes under substitutions from R. For example, commutative rings satisfy the polynomial f(x,y) = xy - yx and exterior algebras satisfy the polynomial f(x,y,z) = (xy - yx)z - z(xy - yx).
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Recensione
From the reviews:
“The book under review consists of two excellent monographs on the PI-theory by two leading researchers, V. Drensky and E. Formanek ... In summary, both expositions are very well written, and the book is recommended both for graduate students and researchers.” (MATHEMATICAL REVIEWS)
Contenuti
A Combinatorial Aspects in PI-Rings.- Vesselin Drensky.- 1 Basic Properties of PI-algebras.- 2 Quantitative Approach to PI-algebras.- 3 The Amitsur-Levitzki Theorem.- 4 Central Polynomials for Matrices.- 5 Invariant Theory of Matrices.- 6 The Nagata-Higman Theorem.- 7 The Shirshov Theorem for Finitely Generated PI-algebras.- 8 Growth of Codimensions of PI-algebras.- B Polynomial Identity Rings.- Edward Formanek.- 1 Polynomial Identities.- 2 The Amitsur-Levitzki Theorem.- 3 Central Polynomials.- 4 Kaplansky’s Theorem.- 5 Theorems of Amitsur and Levitzki on Radicals.- 6 Posner’s Theorem.- 7 Every PI-ring Satisfies a Power of the Standard Identity.- 8 Azumaya Algebras.- 9 Artin’s Theorem.- 10 Chain Conditions.- 11 Hilbert and Jacobson PI-Rings.- 12 The Ring of Generic Matrices.- 13 The Generic Division Ring of Two 2 x 2 Generic Matrices.- 14 The Center of the Generic Division Ring.- 15 Is the Center of the Generic Division Ring a Rational Function Field?.
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Polynomial Identity Rings.
Da: Antiquariat Bookfarm, Löbnitz, Germania
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Softcover. 200 S. Ex-library with stamp and library-signature in good condition, some traces of use. C-01665 9783764371265 Sprache: Englisch Gewicht in Gramm: 550. Codice articolo 2485541
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Polynomial Identity Rings
Print on DemandDa: moluna, Greven, Germania
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The greater part of recent research in polynomial identity rings is about combinatorial questions, and the combinatorial part of the lecture notes gives an up-to-date account of recent researchOn the other hand, the main structural results have be. Codice articolo 5279605
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Polynomial Identity Rings
Da: Books Puddle, New York, NY, U.S.A.
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Condizione: Used. pp. 212. Codice articolo 263064457
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Polynomial Identity Rings
Da: Biblios, Frankfurt am main, HESSE, Germania
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Condizione: Used. pp. 212. Codice articolo 183064451
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Polynomial Identity Rings
Editore:
Springer, Basel, Birkhäuser Basel, Birkhäuser Mai 2004, 2004
ISBN 10: 3764371269
ISBN 13: 9783764371265
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Taschenbuch
Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germania
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -A ring R satisfies a polynomial identity if there is a polynomial f in noncommuting variables which vanishes under substitutions from R. For example, commutative rings satisfy the polynomial f(x,y) = xy - yx and exterior algebras satisfy the polynomial f(x,y,z) = (xy - yx)z - z(xy - yx). 'Satisfying a polynomial identity' is often regarded as a generalization of commutativity.These lecture notes treat polynomial identity rings from both the combinatorial and structural points of view. The former studies the ideal of polynomial identities satisfied by a ring R. The latter studies the properties of rings which satisfy a polynomial identity. The greater part of recent research in polynomial identity rings is about combinatorial questions, and the combinatorial part of the lecture notes gives an up-to-date account of recent research. On the other hand, the main structural results have been known for some time, and the emphasis there is on a presentation accessible to newcomers to the subject.The intended audience is graduate students in algebra, and researchers in algebra, combinatorics and invariant theory. 200 pp. Englisch. Codice articolo 9783764371265
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Polynomial Identity Rings
Da: Majestic Books, Hounslow, Regno Unito
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Condizione: Used. pp. 212 66:B&W 7 x 10 in or 254 x 178 mm Perfect Bound on White w/Gloss Lam. Codice articolo 5864790
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Polynomial Identity Rings
Da: AHA-BUCH GmbH, Einbeck, Germania
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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - A ring R satisfies a polynomial identity if there is a polynomial f in noncommuting variables which vanishes under substitutions from R. For example, commutative rings satisfy the polynomial f(x,y) = xy - yx and exterior algebras satisfy the polynomial f(x,y,z) = (xy - yx)z - z(xy - yx). 'Satisfying a polynomial identity' is often regarded as a generalization of commutativity.These lecture notes treat polynomial identity rings from both the combinatorial and structural points of view. The former studies the ideal of polynomial identities satisfied by a ring R. The latter studies the properties of rings which satisfy a polynomial identity. The greater part of recent research in polynomial identity rings is about combinatorial questions, and the combinatorial part of the lecture notes gives an up-to-date account of recent research. On the other hand, the main structural results have been known for some time, and the emphasis there is on a presentation accessible to newcomers to the subject.The intended audience is graduate students in algebra, and researchers in algebra, combinatorics and invariant theory. Codice articolo 9783764371265
Quantità: 1 disponibili
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Polynomial Identity Rings
Editore:
Birkhäuser Basel, Springer Basel Mai 2004, 2004
ISBN 10: 3764371269
ISBN 13: 9783764371265
Nuovo
Taschenbuch
Da: buchversandmimpf2000, Emtmannsberg, BAYE, Germania
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Taschenbuch. Condizione: Neu. Neuware -A ring R satisfies a polynomial identity if there is a polynomial f in noncommuting variables which vanishes under substitutions from R. For example, commutative rings satisfy the polynomial f(x,y) = xy - yx and exterior algebras satisfy the polynomial f(x,y,z) = (xy - yx)z - z(xy - yx). 'Satisfying a polynomial identity' is often regarded as a generalization of commutativity.These lecture notes treat polynomial identity rings from both the combinatorial and structural points of view. The former studies the ideal of polynomial identities satisfied by a ring R. The latter studies the properties of rings which satisfy a polynomial identity.The greater part of recent research in polynomial identity rings is about combinatorial questions, and the combinatorial part of the lecture notes gives an up-to-date account of recent research. On the other hand, the main structural results have been known for some time, and the emphasis there is on a presentation accessible to newcomers to the subject.The intended audience is graduate students in algebra, and researchers in algebra, combinatorics and invariant theory.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 212 pp. Englisch. Codice articolo 9783764371265
Quantità: 2 disponibili
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Polynomial Identity Rings (Advanced Courses in Mathematics - CRM Barcelona)
Da: Ria Christie Collections, Uxbridge, Regno Unito
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Condizione: New. In. Codice articolo ria9783764371265_new
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Polynomial Identity Rings (Advanced Courses in Mathematics - CRM Barcelona)
Da: Mispah books, Redhill, SURRE, Regno Unito
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Paperback. Condizione: Like New. Like New. book. Codice articolo ERICA78737643712696
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