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We define a ranked trigroupoid as a natural followup on the idea of a ranked bigroupoid. We consider the idea of a derivation on such a trigroupoid as representing a two-step process on a pair of ranked bigroupoids where the mapping  d  is a self-derivation at each step. Following up on this idea we obtain several results and conclusions of interest. We also discuss the notion of a couplet ( D ,  d ) on  X , consisting of a two-step derivation  d  and its square  D  =  d  ∘  d , for example, whose defining property leads to further observations on the underlying ranked trigroupoids also.

the scientific world journal/thescientificworldjournal

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(n−1)-Step Derivations onn-Groupoids: The Casen=3