arXiv subjects

Birama Sangare

Publications and source records attributed to Birama Sangare.

2 recordsLinked to original sources

arXiv2026

Idempotents, automorphism groups, and commutator widths of quandle algebras

The paper develops the theory of quandle algebras. We show that over integral domains of characteristic other than 2, quandle algebras of ordered commutative quandles have no nontrivial idempotents. We also compute the automorphism groups of quandle algebras of trivial quandles and dihedral quandles of odd orders over arbitrary commutative rings, with partial results for dihedral quandles of even orders. Finally, a computer search provides the first examples of quandle algebras of commutator width 2.

math.RA↗

arXiv2026

Automorphisms and antiautomorphisms of quandles

In this paper we provide the conditions under which an automorphism or an antiautomorphism of a group $G$ induces an automorphism or an antiautomorphism of the $m$-conjugation quandle $\operatorname{Conj_{m}}(G),\,\, m\in \mathbb{Z} $, the core quandle $\operatorname{Core}(G)$, the generalized Alexander quandle $\operatorname{Alex}(G,ϕ)$ where $ϕ\in \operatorname{Aut}(G)$ and some others. We also construct automorphisms of these quandles that do not originate from $G$.

math.GR↗