Chapter 86
Nonassociative Algebras
Murray R. Bremner
University of Saskatchewan
Lucia I. Murakami
Universidade de São Paulo
Ivan P. Shestakov
Universidade de São Paulo and Sobolev Institute of Mathematics
One of the earliest surveys on nonassociative algebras is the article by Shirshov [Shi58] that introduced the phrase “rings that are nearly associative.” The first book in the En glish language devoted to a systematic study of nonassociative algebras is Schafer [Sch66]. A comprehensive exposition of the work of the Russian school is Zhevlakov, Slinko, Shestakov, and Shirshov [ZSS82]. A collection of open research problems in algebra, including many problems on nonassociative algebra, is the Dniester Notebook [FKS93]; the survey article by Kuzmin ...
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