The universal conservative superalgebra

Published 2 Nov 2018 in math.RA | (1811.00985v1)

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

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