Ternary and $n$-ary $f$-distributive Structures

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.

16 pages. arXiv admin note: text overlap with arXiv:1606.00353

References in corpus (2)

• Automorphism groups of Quandles
• Cohomology of Categorical Self-Distributivity