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Více informací o knize Polynomial Identity Rings

• Parametry knihy
• Anotace
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Anotace knihy

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.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Number theory

• Plný název: Polynomial Identity Rings
• Autor: V. Drensky, E. Formanek
• Jazyk: Angličtina
• Vazba: Brožovaná
• Počet stran: 200
• EAN: 9783764371265
• ISBN: 3764371269
• ID: 01716700
• Nakladatelství: Birkhauser Verlag AG
• Hmotnost: 384 g
• Rozměry: 254 × 179 × 12 mm
• Datum vydání: 25. May 2004

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