Geodesic
Gelfand--Dorfman--Novikov--Poisson superalgebras and their envelopes
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 1843-1855

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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 $a\circ b=a D(b)$.
Keywords: Gelfand-Dorfman-Novikov-Poisson superalgebras, derivations of algebras, Jordan superalgebras. 
@article{SEMR_2019_16_a29,
     author = {A. S. Zakharov},
     title = {Gelfand--Dorfman--Novikov--Poisson superalgebras and their envelopes},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1843--1855},
     publisher = {mathdoc},
     volume = {16},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2019_16_a29/}
}
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A. S. Zakharov. Gelfand--Dorfman--Novikov--Poisson superalgebras and their envelopes. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 1843-1855. http://geodesic.mathdoc.fr/item/SEMR_2019_16_a29/