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About this book :-
This little book is an expanded version of the lectures on nonassociative algebras which author has gave at an Advanced Subject Matter Institute in Algebra, which was held at Oklahoma State University in the summer of 1961 under the sponsorship of the National Science Foundation. This concise study was the first book to bring together material on the theory of nonassociative algebras, which had previously been scattered throughout the literature. It emphasizes algebras that are, for the most part, finite-dimensional over a field. After an introductory chapter, the book explores arbitrary nonassociative algebras and alternative algebras. Subsequent chapters concentrate on Jordan algebras and power-associative algebras. Throughout, an effort has been made to present the basic ideas, techniques, and flavor of what happens when the associative law is not assumed. Many of the proofs are given in complete detail.
Concise study presents in a short space some of the important ideas and results in the theory of nonassociative algebras, with particular emphasis on alternative and (commutative) Jordan algebras. Written as an introduction for graduate students and other mathematicians meeting the subject for the first time, the treatment's prerequisites include an acquaintance with the fundamentals of abstract and linear algebra.
After an introductory chapter, the book explores arbitrary nonassociative algebras and alternative algebras. Subsequent chapters concentrate on Jordan algebras and power-associative algebras. Throughout, an effort has been made to present the basic ideas, techniques, and flavor of what happens when the associative law is not assumed. Many of the proofs are given in complete detail.
Book Detail :-
This book has following details information.
Title:
Deleted by NA
Publisher:
Series:
eBookDirectory
Year:
2008
Pages:
81
Type:
PDF
Language:
English
ISBN-10 #:
0486688135
ISBN-13 #:
Country:
Pakistan
License:
Get this book from Amazon
About Author :-
The author NA
NA
Book Contents :-
conver the following topics.
1. Introduction
2. Arbitrary Nonassociatlve Algebras
3. Alternative Algebras
4. Jordan Algebras
5. Power-Associative Algebras
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