In this paper we describe the derivations of orthosymplectic Lie superalgebras over a superring. In particular, we derive sufficient conditions under which the derivations can be expressed as a semidirect product of inner and outer derivations. We then present some examples for which these conditions hold.
Journal:
:bulletin of the iranian mathematical society0
s. sheikh-mohseni department of mathematics, mashhad branch, islamic azad university, mashhad, iran. f. saeedi department of mathematics, mashhad branch, islamic azad university, mashhad, iran.
let $l$ be a lie algebra, $mathrm{der}(l)$ be the set of all derivations of $l$ and $mathrm{der}_c(l)$ denote the set of all derivations $alphainmathrm{der}(l)$ for which $alpha(x)in [x,l]:={[x,y]vert yin l}$ for all $xin l$. we obtain an upper bound for dimension of $mathrm{der}_c(l)$ of the finite dimensional nilpotent lie algebra $l$ over algebraically closed fields. also, we classi...
Using fixed pointmethods, we investigate approximately higher ternary Jordan derivations in Banach ternaty algebras via the Cauchy functional equation$$f(lambda_{1}x+lambda_{2}y+lambda_3z)=lambda_1f(x)+lambda_2f(y)+lambda_3f(z)~.$$
We consider the bifurcation of periodic solutions from an equilibrium point of the
given equation: x =F(x,?) , where x ? R , ? is a vector of real parameters
? , ? , ... , ? and F:R x R ->R has at least second continuous derivations in variables
