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- W4293443232 abstract "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 operations in algebras into operations in dialgebras; Lie and Jordan triple systems, and the corresponding disystems; and a noncommutative version of Lie triple systems based on the trilinear operation abc-bca. The paper concludes with a conjecture relating the KP and BSO algorithms, and some suggestions for further research. Most of the original results are joint work with Raul Felipe, Luiz A. Peresi, and Juana Sanchez-Ortega." @default.
- W4293443232 created "2022-08-29" @default.
- W4293443232 creator A5081627694 @default.
- W4293443232 date "2012-01-16" @default.
- W4293443232 modified "2023-09-27" @default.
- W4293443232 title "Algebras, dialgebras, and polynomial identities" @default.
- W4293443232 doi "https://doi.org/10.48550/arxiv.1201.3379" @default.
- W4293443232 hasPublicationYear "2012" @default.
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