9 citations · 31 across the 27 of their papers we have counts for
4 papers · 1 filter
The derivation problem for quandle algebras
M. Elhamdadi, A. Makhlouf, S. Silvestrov +1
The purpose of this paper is to introduce and investigate the notion of derivation for quandle algebras. More precisely, we describe the symmetries on structure constants providing…
Extensions and crossed modules of -Lie Rinehart algebras
A. Ben Hassine, T. Chtioui, M. Elhamdadi +1
We introduce a notion of -Lie Rinehart algebras as a generalization of Lie Rinehart algebras to -ary case. This notion is also an algebraic analogue of -Lie algebroids. We…
Singquandles, Psyquandles and Singular Knots: A Survey
Jose Ceniceros, Indu R. Churchill, Mohamed Elhamdadi +1
In this short survey we review recent results dealing with algebraic structures (quandles, psyquandles, and singquandles) related to singular knot theory. We first explore the sing…
Singquandle Shadows and Singular knot Invariants
Jose Ceniceros, Indu R. Churchill, Mohamed Elhamdadi
We introduce shadow structures for singular knot theory. Precisely, we define \emph{two} invariants of singular knots and links. First, we introduce a notion of action of a singqua…