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Synopsis
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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Review
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“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)
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- PublisherBirkhäuser
- Publication date2004
- ISBN 10 3764371269
- ISBN 13 9783764371265
- BindingPaperback
- LanguageEnglish
- Number of pages207
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Polynomial Identity Rings.
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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. Seller Inventory # 2485541
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Polynomial Identity Rings (Advanced Courses in Mathematics - CRM Barcelona)
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Polynomial Identity Rings
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Springer, Basel, Birkhäuser Basel, Birkhäuser Mai 2004, 2004
ISBN 10: 3764371269
ISBN 13: 9783764371265
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Taschenbuch. Condition: 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. Seller Inventory # 9783764371265
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Polynomial Identity Rings
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Taschenbuch. Condition: 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. Seller Inventory # 9783764371265
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Polynomial Identity Rings
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Polynomial Identity Rings
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Polynomial Identity Rings
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Condition: 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. Seller Inventory # 5279605
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Polynomial Identity Rings
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Polynomial Identity Rings
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Birkhäuser Basel, Springer Basel Mai 2004, 2004
ISBN 10: 3764371269
ISBN 13: 9783764371265
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Taschenbuch
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Taschenbuch. Condition: 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. Seller Inventory # 9783764371265
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Polynomial Identity Rings (Advanced Courses in Mathematics - CRM Barcelona)
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