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Algebra VI - Combinatorial and Asymptotic Methods of Algebra. Non-Associative Structures (Paperback, Softcover reprint of the original 1st ed. 1995)
Loot Price: R2,949
Discovery Miles 29 490
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Algebra VI - Combinatorial and Asymptotic Methods of Algebra. Non-Associative Structures (Paperback, Softcover reprint of the original 1st ed. 1995)
Series: Encyclopaedia of Mathematical Sciences, 57
Expected to ship within 10 - 15 working days
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This book contains two contributions: "Combinatorial and Asymptotic
Methods in Algebra" by V.A. Ufnarovskij is a survey of various
combinatorial methods in infinite-dimensional algebras, widely
interpreted to contain homological algebra and vigorously
developing computer algebra, and narrowly interpreted as the study
of algebraic objects defined by generators and their relations. The
author shows how objects like words, graphs and automata provide
valuable information in asymptotic studies. The main methods emply
the notions of Grobner bases, generating functions, growth and
those of homological algebra. Treated are also problems of
relationships between different series, such as Hilbert, Poincare
and Poincare-Betti series. Hyperbolic and quantum groups are also
discussed. The reader does not need much of background material for
he can find definitions and simple properties of the defined
notions introduced along the way. "Non-Associative Structures" by
E.N.Kuz'min and I.P.Shestakov surveys the modern state of the
theory of non-associative structures that are nearly associative.
Jordan, alternative, Malcev, and quasigroup algebras are discussed
as well as applications of these structures in various areas of
mathematics and primarily their relationship with the associative
algebras. Quasigroups and loops are treated too. The survey is
self-contained and complete with references to proofs in the
literature. The book will be of great interest to graduate students
and researchers in mathematics, computer science and theoretical
physics."
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