ENGLISH

Difference algebra

By Alexander Levin

Book information

Publisher
Springer
Year
2008
ISBN
1402069464, 9781402069468
Open Library ID
OL17064937M
Language
english
Format
PDF
Filesize
3 MB (3285521 bytes)
Series
Algebra and Applications
Edition
1
Pages
527\527
Topic
Mathematics Algebra
Library
Kolxo3
Scanned
yes
Time added
2009-07-20 03:45:11

Description

Difference algebra grew out of the study of algebraic difference equations with coefficients from functional fields. The first stage of this development of the theory is associated with its founder, J.F. Ritt (1893-1951), and R. Cohn, whose book Difference Algebra (1965) remained the only fundamental monograph on the subject for many years. Nowadays, difference algebra has overgrown the frame of the theory of ordinary algebraic difference equations and appears as a rich theory with applications to the study of equations in finite differences, functional equations, differential equations with delay, algebraic structures with operators, group and semigroup rings. The monograph is intended for graduate students and researchers in difference and differential algebra, commutative algebra, ring theory, and algebraic geometry. The book is self-contained; it requires no prerequisites other than the knowledge of basic algebraic concepts and a mathematical maturity of an advanced undergraduate.

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