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.
General
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