2 problems

For each $m\in\mathbb{N}$, let $\chi_m$ denote the algebra map defined in the paper. Chi-map isomorphism conjecture. The map $\chi_m$ is an isomorphism of algebras for all…

Let $B$ be the graded algebra under consideration, let $B_\psi=B/\langle b-\psi(b)\mid b\in B\rangle$, and let $C$ be the graded vector space with basis $v_d$ for…