(n − 1)-Step Derivations on n-Groupoids: The Case n = 3
نویسندگان
چکیده
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.
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ورودعنوان ژورنال:
دوره 2014 شماره
صفحات -
تاریخ انتشار 2014