Overview
- First monograph on topic
Part of the book series: Encyclopaedia of Mathematical Sciences (EMS, volume 136)
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Table of contents (12 chapters)
Keywords
About this book
The author provides a unified treatment of the subject, beginning with 16 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. Topics of special interest include: progress in the dimension three case, finiteness questions (Hilbert’s 14th Problem), algorithms, the Makar-Limanov invariant, and connections to the Cancellation Problem and the Embedding Problem. The reader will also find a wealth of pertinent examples and open problems and an up-to-date resource for research.
Reviews
From the reviews:
"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)
Authors and Affiliations
Bibliographic Information
Book Title: Algebraic Theory of Locally Nilpotent Derivations
Authors: Gene Freudenburg
Series Title: Encyclopaedia of Mathematical Sciences
DOI: https://doi.org/10.1007/978-3-540-29523-5
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2006
Softcover ISBN: 978-3-642-06732-7Published: 16 November 2010
eBook ISBN: 978-3-540-29523-5Published: 18 July 2007
Series ISSN: 0938-0396
Edition Number: 1
Number of Pages: XI, 261
Topics: Commutative Rings and Algebras, Algebraic Geometry, Topological Groups, Lie Groups