(n-1)-Step Derivations on n-Groupoids: The Case n=3

Title
(n-1)-Step Derivations on n-Groupoids: The Case n=3
Author
김희식
Issue Date
2014-07
Publisher
HINDAWI PUBLISHING CORP
Citation
SCIENTIFIC WORLD JOURNAL, 2014, 6P.
Abstract
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 circle d, for example, whose defining property leads to further observations on the underlying ranked trigroupoids also.
URI
https://www.hindawi.com/journals/tswj/2014/726470http://hdl.handle.net/20.500.11754/55748
ISSN
1537-744X
DOI
10.1155/2014/726470
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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