51 citations · 254 across the 64 of their papers we have counts for
4 papers · 1 filter
Singular braids, singular links and subgroups of camomile type
Valeriy G. Bardakov, Tatyana A. Kozlovskaya
In this paper we find a finite set of generators and defining relations for the singular pure braid group , , that is a subgroup of the singular braid group .…
Extensions of Yang-Baxter sets
Valeriy G. Bardakov, Dmitry V. Talalaev
The paper extends the notion of braided set and its close relative - the Yang-Baxter set - to the category of vector spaces and explore structure aspects of such a notion as morphi…
Multiplication of quandle structures
Valeriy G. Bardakov, Denis A. Fedoseev
We generalise the construction of -family of quandles and -family of quandles which were introduced in the paper of A. Ishii, M. Iwakiri, Y. Jang, K. Oshiro, and find connect…
Symmetric skew braces and brace systems
Valeriy G. Bardakov, Mikhail V. Neshchadim, Manoj K. Yadav
For a skew left brace , the map $λ: (G, \circ) \to \Aut \,(G, \cdot),~~a \mapsto λ_a,$ where for all , is a group…