Antiassociative Groupoids

Milton Braitt, David Hobby, Donald Silberger

Given a groupoid $<G,\star >$, and $k\ge 3$, we say that $G$ is antiassociative iff for all $x_1,x_2,x_3\in G$, $(x_1\star x_2)\star x_3$ and $x_1\star (x_2\star x_3)$ a…