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

Alshehri, N. O.; Kim, Hee Sik; Neggers, J.

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

dc.contributor.author	Alshehri, N. O.
dc.contributor.author	Kim, Hee Sik
dc.contributor.author	Neggers, J.
dc.contributor.other	King Abdulaziz University
dc.contributor.other	Hanyang University
dc.contributor.other	University of Alabama Tuscaloosa
dc.date.accessioned	2023-09-28T19:38:49Z
dc.date.available	2023-09-28T19:38:49Z
dc.date.issued	2014
dc.description.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.	en_US
dc.format.medium	electronic
dc.format.mimetype	application/pdf
dc.identifier.citation	Alshehri, N. O., Kim, H. S., & Neggers, J. (2014). <mml:math xmlns:mml='http://www.w3.org/1998/Math/MathML' id='M1'><mml:mi>(n</mml:mi><mml:mo>−</mml:mo><mml:mn>1)</mml:mn></mml:math>-Step Derivations on<mml:math xmlns:mml='http://www.w3.org/1998/Math/MathML' id='M2'><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:math>-Groupoids: The Case<mml:math xmlns:mml='http://www.w3.org/1998/Math/MathML' id='M3'><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn>3</mml:mn></mml:math>. In The Scientific World Journal (Vol. 2014, pp. 1–6). Hindawi Limited. https://doi.org/10.1155/2014/726470
dc.identifier.doi	10.1155/2014/726470
dc.identifier.orcid	https://orcid.org/0000-0002-8121-8727
dc.identifier.uri	https://ir.ua.edu/handle/123456789/11674
dc.language	English
dc.language.iso	en_US
dc.publisher	Hindawi
dc.rights.license	Attribution 4.0 International (CC BY 4.0)
dc.rights.uri	https://creativecommons.org/licenses/by/4.0/
dc.subject	LATTICES
dc.subject	Multidisciplinary Sciences
dc.title	(n-1)-Step Derivations on n-Groupoids: The Case n=3	en_US
dc.type	Article
dc.type	text