Antiassociative groupoids

Given a groupoid $\langle G, \star\rangle$, and $k \geq3$, we say that $G$ is antiassociative if an only if for all $x_1, x_2, x_3 \in G$, $(x_1 \star x_2) \star x_3$ and $x_1 \star(x_2 \star x_3)$ are never equal. Generalizing this, $\langle G, \star\rangle$ is $k$-antiassociative if and only if fo...

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Bibliographic Details
Main Authors: Milton Braitt, David Hobby, Donald Silberger
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2017-04-01
Series:Mathematica Bohemica
Subjects:
Online Access:http://mb.math.cas.cz/full/142/1/mb142_1_4.pdf