73 citations · 1.5k across the 132 of their papers we have counts for
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(n+1)-Ary derivations of simple Malcev algebras
Ivan Kaygorodov
We defined (n+1)-ary derivations of n-ary algebras. We described 3-derivations of simple Malcev algebras and 4-ary derivations of simple ternary Malcev algebra M_8.
(n+1)-Ary derivations os semisimple Filippov algebras
Ivan Kaygorodov
We defined (n+1)-ary derivations of -ary algebras. We described (n+1)-derivations of simple and semisimple finite-dimensional Filippov algebras over algebraically closed field z…
δ-derivations of n-ary algebras
Ivan Kaygorodov
We defined δ-derivations of n-ary algebras. We described δ-derivations of (n+1)-dimensional n-ary Filippov algebras and simple finite-dimensional Filippov algebras over algebraical…
Generalized δ-Derivations
Ivan Kaygorodov
We defined generalized δ-derivations of algebra A as linear mapping χassociated with usual δ-derivation ϕby the rule χ(xy)=δ(χ(x)y+xϕ(y))=δ(ϕ(x)y+xχ(y)) for any x,y \in A. We descr…
On -superderivations of simple superalgebras of Jordan brackets
Ivan Kaygorodov, Victor N. Zhelyabin, Victor Zhelyabin
A complete description of -derivations and -superderivations is given for simple unital superalgebras of Jordan brackets over a field of characteristic different from~ \te…
-Superderivations of semisimple finite-dimensional Jordan superalgebras
Ivan Kaygorodov
In the paper, a complete description of the -derivations and the -superderivations of semisimple finite-dimensional Jordan superalgebras over an algebraically closed field of…
Generalized Kantor Double
Ivan Kaygorodov
We consider generalization of wellknown construction Kantor Double J(Γ, {,}) (KKM Double, Kantor-King-McCrimmon Double), where basic algebra Γ is nonunital algebra. We find necessa…