Polynomial Identity Rings
Language: English
Published by Birkhäuser, 2004
- Softcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
AbeBooks seller since August 14, 2006
Condition: New
£ 40.44
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Add to basketItem description from seller
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
- Title
- Polynomial Identity Rings
- Author
- Vesselin Drensky
- Publisher
- Birkhäuser
- Publication year
- 2004
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 3764371269
- ISBN 13
- 9783764371265
- Item weight
- 409 grams
- Dimensions
- 254x178x12 mm
These lecture notes treat polynomial identity rings from both the combinatorial and structural points of view. 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.
"Synopsis" may belong to another edition of this title.
Review
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)
"About the title" may belong to another edition of this title.
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