Quandles, f-Distributive Structures, Ternary structures, Extensions, Cohomology, 20G10, 17A30, 17A40
Digital Object Identifier (DOI)
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.
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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.