Polynomial Identity Rings by Vesselin Drensky

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Summary

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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Polynomial Identity Rings by Vesselin Drensky

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.

From the reviews:

“The book under review consists of two excellent monographs on the PI-theory by two leading researchers, VDrensky and E. Formanek … In summary, both expositions are very well written, and the book is recommended both for graduate students and researchers.” (MATHEMATICAL REVIEWS)

SKU Unavailable
ISBN 13 9783764371265
ISBN 10 3764371269
Title Polynomial Identity Rings
Author Vesselin Drensky
Series Advanced Courses In Mathematics - Crm Barcelona
Condition Unavailable
Binding Type Paperback
Publisher Birkhauser Verlag AG
Year published 2004-05-25
Number of pages 200
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.