Аннотация:
We prove some result of $\mathcal{GDNP}$–algebras for $\mathcal{GDNP}$–superalgebras and embeding some $\mathcal{GDNP}$–superalgebras into $\mathcal{GDNP}$–superalgebras of vector type. Also we prove that not every $\mathcal{GDNP}$–superalgebra can be embeded into associative supercommutative superalgebra with even derivation $D$ and product given by $a\circ b=a D(b)$.
Ключевые слова:Gelfand–Dorfman–Novikov–Poisson superalgebras, derivations of algebras, Jordan superalgebras.