3 problems

Let $H$ be a right noetherian Hopf algebra over a field, and let $S$ denote its antipode. Skryabin's bijective antipode conjecture. The antipode $S$ is bijective. Skryabin proved t…

Let $B$ be a Noetherian algebra, and let $N$ be a Wedderburn projective $B$-module. Write $\tau_N(B)$ for the trace of $N$ in $B$. Wedderburn-projective Idempotent Nakayama Conject…

Let $(C,e)$ be a Wedderburn context, with $C$ a Noetherian algebra, and let $\overline{C}=C/CeC$ be its Morita defect. Idempotent Nakayama Conjecture. If … then $\overline{C}=0$. E…