Polynomial Identity Rings
(Sprache: Englisch)
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...
Leider schon ausverkauft
versandkostenfrei
Buch (Kartoniert)
37.40 €
18 DeutschlandCard Punkte
sammeln
- Lastschrift, Kreditkarte, Paypal, Rechnung
- Kostenlose Rücksendung
Produktdetails
Produktinformationen zu „Polynomial Identity Rings “
Klappentext zu „Polynomial Identity Rings “
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.
Inhaltsverzeichnis zu „Polynomial Identity Rings “
- Foreword- Part A. Combinatorial Aspects in PI-Rings (by V. Drensky)
- Part B. Polynomial Identity Rings (by E. Formanek)
- Bibliography
- Index.
Bibliographische Angaben
- Autoren: Vesselin Drensky , Edward Formanek
- 2004, 2004, VII, 200 Seiten, Maße: 17,8 x 25,4 cm, Kartoniert (TB), Englisch
- Verlag: Birkhäuser
- ISBN-10: 3764371269
- ISBN-13: 9783764371265
- Erscheinungsdatum: 25.05.2004
Sprache:
Englisch
Rezension zu „Polynomial Identity Rings “
From the reviews:
Pressezitat
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)
Kommentar zu "Polynomial Identity Rings"
0 Gebrauchte Artikel zu „Polynomial Identity Rings“
| Zustand | Preis | Porto | Zahlung | Verkäufer | Rating |
|---|
Schreiben Sie einen Kommentar zu "Polynomial Identity Rings".
Kommentar verfassen