3 problems

Let $A$ be an Artin-Schelter regular algebra, and let $\nu_A$ denote its Nakayama automorphism. The homological determinant $\operatorname{hdet}(\nu_A)$ is the homological determin…

Let $A$ be a connected $\mathbb{Z}^r$-graded algebra that is Artin–Schelter regular, or more generally Artin–Schelter Gorenstein. Let $\operatorname{Aut}_{\mathbb{Z}^r}(A)$ denote…

Let $S$ be an AS-regular algebra, and let $u$ be its Nakayama automorphism. The homological determinant conjecture. If $nu$ is the Nakayama automorphism of an AS-regular algeb…