An Introduction to Nonassociative Algebras

Richard D. Schafer

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. “An important addition to the mathematical literature”—Bulletin of the American Mathematical Society.

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Table of contents :
Preface……Page 5
Introduction……Page 7
Arbitrary Nonassociative Algebras……Page 12
Alternative Algebras……Page 23
Jordan Algebras……Page 35
Power-associative Algebras……Page 48
Bibliography……Page 67
Licensing Information……Page 75