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Novikov superalgebras with ${A}_{0}={A}_{1}{A}_{1}$. (English) Zbl 1224.17010
Summary: Novikov superalgebras are related to quadratic conformal superalgebras which correspond to the Hamiltonian pairs and play a fundamental role in completely integrable systems. In this note we show that the Novikov superalgebras with ${A}_{0}={A}_{1}{A}_{1}$ and $dim{A}_{1}=2$ are of type $N$ and give a class of Novikov superalgebras of type $S$ with ${A}_{0}={A}_{1}{A}_{1}$.
##### MSC:
 17A70 Superalgebras 17A30 Nonassociative algebras satisfying other identities
##### References:
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