The primary aim of this chapter is to present some basic results about nonassociative algebras which will be important background for later investigations. No attempt is made to provide a detailed account of any particular topic with great generality. The discussion focuses on definitions and elementary results about some well known nonassociative algebras, and relationships between them. It is also intended to make the presentation accessible to nonspecialists in nonassociative algebras who wish to make contact with mutation algebras and their applications. Thus, deliberate efforts are made to provide proofs for some known results whenever possible, without unnecessary difficulty.
KeywordsAssociative Algebra Division Algebra Jordan Algebra Simple Algebra Composition Algebra
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