M. Braitt

collaborators

2 papers

math.RA2014

Antiassociative Groupoids

Milton Braitt, David Hobby, Donald Silberger

Given a groupoid $< G, ⋆ >$ , and $k \geq 3$ , we say that $G$ is antiassociative iff for all $x_{1}, x_{2}, x_{3} \in G$ , $(x_{1} ⋆ x_{2}) ⋆ x_{3}$ and $x_{1} ⋆ (x_{2} ⋆ x_{3})$ a…

math.GR2011

Completely dissociative groupoids

Milton S. Braitt, David Hobby, Donald Silberger

Consider arbitrarily parenthesized expressions on the $k$ variables $x_{0}, x_{1}, ..., x_{k - 1}$ , where each $x_{i}$ appears exactly once and in the order of their indices. We call these…