3 citations · 4 across the 2 of their papers we have counts for
3 papers
-Racks, -Quandles, their Extensions and Cohomology
Indu R. U. Churchill, M. Elhamdadi, M. Green +1
The purpose of this paper is to introduce and study the notions of -rack and -quandle which are obtained by twisting the usual equational identities by a map. We provide some…
Ternary Distributive Structures and Quandles
Mohamed Elhamdadi, Matthew Green, Abdenacer Makhlouf
We introduce a notion of ternary distributive algebraic structure, give examples, and relate it to the notion of a quandle. Classification is given for low order structures of this…
Augmented Biracks and their Homology
Jose Ceniceros, Mohamed Elhamdadi, Matthew Green +1
We introduce augmented biracks and define a (co)homology theory associated to augmented biracks. The new homology theory extends the previously studied Yang-Baxter homology with a…