4 problems

A quadratic regular algebra of dimension $3$ is a graded algebra satisfying the regularity hypotheses considered in the paper, and it is semi-stable with respect to the stability n…

Let $w$ be a 3-regular $(N+1)$-linear form on $mathbb K^g$, with $N\geq 2$ and $g\geq 2$, and let ${\mathcal A}(w,N)$ denote the associated graded algebra. Van den Bergh's converse…

Let $H$ be a semiprime regular Hopf algebra of Gelfand–Kirillov dimension one over an algebraically closed field $k$ of characteristic zero. Let $P$ be the unique minimal prime ide…

For the remainder of the paper, let a regular algebra with partial relations $r_1,\ldots,r_8$ mean an algebra satisfying the paper's preceding definition of partial relations, and…