Algebras, Dialgebras, and Polynomial Identities
R. Bremner, Murray (2012)
Serdica Mathematical Journal
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2010 Mathematics Subject Classification: Primary 17A30. Secondary 16R10, 17-08, 17A32, This is a survey of some recent developments in the theory of associative and nonassociative dialgebras, with an emphasis on polynomial identities and multilinear operations. We discuss associative, Lie, Jordan, and alternative algebras, and the corresponding dialgebras; the KP algorithm for converting identities for algebras into identities for dialgebras; the BSO algorithm for converting...