The theory of automorphisms and derivations of associative rings is
a direct descendant of the development of classical Galois theory
and the theory of invariants. This volume presents a comprehensive
overview of the methods and results of that theory, which has been
greatly enriched during the last twenty years. Some of the material
included appears for the first time. Among the problems discussed
in this book are the following: construction of a Galois theory for
prime and semiprime rings and its application to domains and free
algebras; investigation of the problems of the algebraic dependence
of automorphisms and derivations; studies of the fixed rings for
finite groups and rings of constants for differential Lie algebras
acting on the rings; non-commutative invariants of linear groups;
theorems of finite groups acting on modular lattices; actions of
Hopf algebras. The monograph is meant for specialists in algebra,
but it can also be useful for a wider range of mathematicians. The
inclusions in the book of the latest achievements on the structural
theory of rings with generalized identities makes it desirable
reading for graduate students as well.
General
Imprint: |
Springer
|
Country of origin: |
Netherlands |
Series: |
Mathematics and its Applications, 69 |
Release date: |
April 2003 |
First published: |
1991 |
Authors: |
V. Kharchenko
|
Dimensions: |
235 x 155 x 23mm (L x W x T) |
Format: |
Hardcover
|
Pages: |
385 |
Edition: |
1991 ed. |
ISBN-13: |
978-0-7923-1382-3 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Algebra >
General
Promotions
|
LSN: |
0-7923-1382-8 |
Barcode: |
9780792313823 |
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