Overview

This book explores the theory and application of locally nilpotent derivations. It provides a unified treatment of the subject, beginning with sixteen First Principles on which the entire theory is based. These are used to establish classical results, such as Rentschler's Theorem for the plane, right up to the most recent results, such as Makar-Limanov's Theorem for locally nilpotent derivations of polynomial rings. The book also includes a wealth of pexamples and open problems.

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9783540816942

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<p>From the reviews: <p><p> In the volume under review, the author gives a detailed description of the subject covering all the important results . the book has a wealth of examples and the Epilogue details some important open problems in the area. is accessible to less advanced graduate students. It is a valuable addition to the literature and am sure would be very helpful to the interested student and researcher alike. (N. Mohan Kumar, Zentralblatt MATH, Vol. 1121 (23), 2007)

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