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The universal conservative superalgebra

Ivan KaygorodovUniversidade Federal do ABC, CMCC, Santo André, Brazil;Yury PopovUniversidade Estadual de Campinas, Campinas, Brazil;Alexandr PozhidaevDepartment of Mathematics and Mechanics, Novosibirsk State University, Novosibirsk, Russia
2019en
ABI

Abstract

We introduce the class of conservative superalgebras, in particular, the superalgebra U(V) of bilinear operations on a superspace V. Moreover, we show that each conservative superalgebra modulo its maximal Jacobian ideal is embedded into U(V) for a certain superspace V.

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