On endomorphs of right-symmetric algebras

We introduce the notion of endomorph $E({\Cal A})$ of a $($super$)$algebra ${\Cal A}$ and prove that $E({\Cal A})$ is a simple $($super$)$algebra if ${\Cal A}$ is not an algebra of scalar multiplication. If ${\Cal A}$ is a right-symmetric {(}super{\rm)}algebra then $E({\Cal A})$ is right-symmetric as well. Thus, we construct a wide class of simple {(}right-symmetric{\rm)} {\rm(}super{\rm)}algebras which contains a matrix subalgebra with a common unity. We calculate the derivation algebra of the endomorph of a unital algebra ${\Cal A}$ and the automorphism group of the simple right-symmetric algebra $E(V_n)$ $($the endomorph of a direct sum of fields$)$.