Ternary and $n$-ary $f$-distributive Structures
Algebraic Topology
2017-04-28 v1
Abstract
We introduce and study ternary -distributive structures, Ternary -quandles and more generally their higher -ary analogues. A classification of ternary -quandles is provided in low dimensions. Moreover, we study extension theory and introduce a cohomology theory for ternary, and more generally -ary, -quandles. Furthermore, we give some computational examples.
Cite
@article{arxiv.1704.08407,
title = {Ternary and $n$-ary $f$-distributive Structures},
author = {Indu R. U. Churchill and M. Elhamdadi and M. Green and A. Makhlouf},
journal= {arXiv preprint arXiv:1704.08407},
year = {2017}
}
Comments
16 pages. arXiv admin note: text overlap with arXiv:1606.00353