2 problems

Let $n$ be a positive integer, let $L$ be an $n$-strong Lie algebra over a field with at least $n$ elements, and let $A(L)$ be its universal enveloping algebra. For a monomial…

Let $n$ and $p$ be integers with $n<p$, and let $L$ be an $n$-Engel Lie algebra over $\mathbb{F}_p$. For every $x e L$, let $I(x)$ be the ideal generated by $x$; call $L$ **$k$-str…