Introduction to Nonassociative Algebras (eBook)

Richard D. Schafer (Autor)

eBook Download: EPUB

2017
Dover Publications (Verlag)
978-0-486-16417-5 (ISBN)

Infos

Concise graduate-level introductory study presents some of the important ideas and results in the theory of nonassociative algebras. Places particular emphasis on alternative and (commutative) Jordan algebras. 1966 edition.

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"e;An important addition to the mathematical literature … contains very interesting results not available in other books; written in a plain and clear style, it reads very smoothly."e; — Bulletin of the American Mathematical SocietyThis 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. 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.

Autor

Richard D. Schafer (1918–2014) was a Professor of Mathematics at the Massachusetts Institute of Technology from 1959 until his retirement in 1988.

Inhalt

PrefaceI. IntroductionII. Arbitrary Nonasssociative AlgebrasIII. Alternative AlgebrasIV. Jordan AlgebrasV. Power-Associative AlgebrasBibliographyIndex 

Produkt-Details

• Erscheint lt. Verlag: 15.11.2017
• Reihe/Serie: Dover Books on Mathematics
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik
• Schlagworte: Algebra • Alternative Algebras • Arbitrary Nonassociative Algebras • Cayley Algebras • concise study • Finite Dimensional Algebras • graduate student • graduate students • Introduction • Jordan Algebras • Literature • Math • Mathematicians • Mathematics • Nilpotent Algebras • non associative algebras, richard d schafer, textbook, mathematics, alternative and commutative, jordan algebras, group theory, algebra, pure mathematics, introduction, graduate student, finite dimensional algebras, nilpotent algebras, alternative algebras, cayley algebras, wedderburn principle theorem • Noncommutative Jordan Algebras. • Pierce Decomposition • Power-Associative Algebras • Pure Mathematics • richard d schafer • Semisimple algebras • short book • Simple Lie Algebras • Textbook • Theoretical • Wedderburn Principal Theorem • wedderburn principle theorem
• ISBN-10: 0-486-16417-9 / 0486164179
• ISBN-13: 978-0-486-16417-5 / 9780486164175