2 problems

Let $k$ be a field of characteristic zero, and let … be an epimorphism of $k$-algebras. Set $I=\ker(\varphi)$, and let $\mu(I)$ denote the minimal number of generators of $I$. Epi-…

Nonexistence conjecture. No epimorphism exists from an atomic nest algebra with all atoms finite rank onto either $B(\mathcal{H})$ or a continuous nest algebra.