5 problems

Let $K$ be a field of characteristic zero, let $k,k'\in K^n$ each have exactly $m$ nonzero elements, and let $A_n^k$ and $A_n^{k'}$ be the corresponding higher-order hom-associativ…

Let $K$ be a field of characteristic zero, let $A_n$ be the $n$th higher-order Weyl algebra, and let $A_n^k$ and $A_n^{k'}$ be higher-order hom-associative Weyl algebras associated…

The second $\gamma,\delta$ conjecture. For every endomorphism $f$ of $A_1$, there exist involutions $\gamma$ and $\delta$, such that $f$ is a $\gamma,\delta$-endomorphism of $A_1$.

The first $g,h$ conjecture. For every endomorphism $f$ of $A_1$, there exist $g$ and $h$, both automorphisms, both anti-automorphisms or one is an automorphism and the other is an…

The first $\gamma,\delta$ conjecture. For every endomorphism $f$ of $A_1$, there exist involutions $\gamma$ and $\delta$, each of $\gamma$ and $\delta$ is conjugate to $\alpha$, su…