Algebras of Jordan brackets and generalized Poisson algebras |
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| Authors: | Ivan Kaygorodov |
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| Institution: | 1. CMCC, Universidade Federal do ABC, Santo André, Brazil.;2. Siberian State Aerospace University, Krasnoyarsk, Russia.ivan.kaygorodov@ufabc.edu.br |
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| Abstract: | We construct bases for free unital generalized Poisson superalgebras and for free unital superalgebras of Jordan brackets. Also, we prove an analogue of Farkas’ theorem for PI unital generalized Poisson algebras and PI unital algebras of Jordan brackets. Relations between generic Poisson superalgebras and superalgebras of Jordan brackets are studied. |
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| Keywords: | Poisson algebra identity algebra of Jordan brackets |
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