Ternary and n-ary f-distributive Structures

Authors

Indu Rasika U. Churchill, University of South FloridaFollow
Mohamed Elhamdadi, University of South FloridaFollow
M. Green, University of South Florida
A. Makhlouf, Universite de Haute-Alsace

Document Type

Article

Publication Date

2018

Keywords

Quandles, f-Distributive Structures, Ternary structures, Extensions, Cohomology, 20G10, 17A30, 17A40

Digital Object Identifier (DOI)

https://doi.org/10.1515/math-2018-0006

Abstract

We introduce and study ternary f-distributive structures, Ternary f-quandles and more generally their higher n-ary analogues. A classification of ternary f-quandles is provided in low dimensions. Moreover, we study extension theory and introduce a cohomology theory for ternary, and more generally n-ary, f-quandles. Furthermore, we give some computational examples.

Rights Information

This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.

Was this content written or created while at USF?

Yes

Citation / Publisher Attribution

Open Mathematics, v. 16, issue 1, p. 32-45

Scholar Commons Citation

Churchill, Indu Rasika U.; Elhamdadi, Mohamed; Green, M.; and Makhlouf, A., "Ternary and n-ary f-distributive Structures" (2018). Mathematics and Statistics Faculty Publications. 28.
https://digitalcommons.usf.edu/mth_facpub/28