2 problems

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 $H$ be a noetherian Hopf algebra, and let $S$ denote its antipode. Skryabin's conjecture. The antipode $S$ of every noetherian Hopf algebra is bijective. Bijectivity is known f…