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.
This book, the third book in the four-volume series in algebra, deals with important topics in homological algebra, including abstract theory of derived...
Algebra for College Students is designed to provide students with the algebra background needed for further college-level mathematics courses. The unifying...
This book is intended to be an introduction to Diophantine geometry. The central theme of the book is to investigate the distribution of integral points on...
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