2 problems

Let $A$ be a commutative binary complex algebra, meaning that its binary operation is symmetric. Generalized Jacobian conjecture for quadratic mappings. If $A$ is Engel, then $A$ i…

Let $A$ be a finite-dimensional commutative power-associative algebra over a field $k$. An element $a\in A$ is nilpotent if $a^n=0$ for some positive integer $n$, and $A$ is a nila…