$δ$-superderivations of KKM Double

Mathematics – Rings and Algebras

Scientific paper

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12 pages [in Russian]

Scientific paper

We described $\delta$-derivations and $\delta$-superderivations of simple Jordan superalgebra <> (also known as superalgebra of Jordan brackets) and unital simple finite-dimensional Jordan superalgebras over algebraic closed fields with characteristic $p\neq2$. As a consequence, we received relationship between non-trivial $\delta$-derivations and specialty of simple superalgebra <>. We constructed new examples of non-trivial 1/2-derivations of Jordan superalgebras of vector type.

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