Rectangular groupoids and related structures

The quasivariety of groupoids (N,∗) satisfying the implication a∗b=c∗d⇒a∗d=c∗b=a∗b generalises rectangular semigroups and central groupoids. We call them rectangular groupoids and find three combinatorial structures based upon arrays, matrices and graphs that are closely related.

Bibliographic Details
Main Author: Boykett, Tim
Format: Online
Language:English
Published: Elsevier 2013
Online Access:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3688338/