Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Algebras, dialgebras, and polynomial identities   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.

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The categories of this paper are: hep-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: nlin
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The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: stat