Functional Identities

• Main Authors: Brešar, Matej (Author), Chebotar, Mikhail A. (Author), Martindale, Wallace S. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2007.
• Series: Frontiers in Mathematics,
• Subjects: Mathematics.; Algebra.; Associative rings.; Rings (Algebra).; Functional analysis.; Associative Rings and Algebras.; Functional Analysis.

The theory of functional identities (FIs) is a relatively new one - the first results were published at the beginning of the 1990s, and this is the first book on this subject. An FI can be informally described as an identical relation involving arbitrary elements in an associative ring together with...

Table of Contents:

• An Introductory Course
• What is a Functional Identity?
• The Strong Degree and the FI-Degree
• The General Theory
• Constructing d-Free Sets
• Functional Identities on d-Free Sets
• Functional Identities in (Semi)prime Rings
• Applications
• Lie Maps and Related Topics
• Linear Preserver Problems
• Further Applications to Lie Algebras.