Abstract For a quadratic algebra $A=k\langle X\rangle/(\Re)$, when the set $\Re$ of relations satisfies certain symmetric condition, $A$ is an Artin-Schelter-regular PBW algebra. Furthermore, $A$ is a binomial skew polynomial ring, with respect to an enumeration of $X$.
Received: 25 December 2013
Published: 29 July 2018
