Téléchargez le livre : Algebraic Theory of Locally Nilpotent Derivations

Algebraic Theory of Locally Nilpotent Derivations

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Éditeur :

Springer


Collection :

Encyclopaedia of Mathematical Sciences

Paru le : 2007-07-18

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Description

This book explores the theory and application of locally nilpotent derivations, which is a subject of growing interest and importance not only among those in commutative algebra and algebraic geometry, but also in fields such as Lie algebras and differential equations. 


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.
Pages
261 pages
Collection
Encyclopaedia of Mathematical Sciences
Parution
2007-07-18
Marque
Springer
EAN papier
9783540295211
EAN PDF
9783540295235
Informations sur l'ebook
Nombre pages copiables
2
Nombre pages imprimables
26
Taille du fichier
2396 Ko
Prix
137,14 €

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