1 citations · 1 across the 12 of their papers we have counts for
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Multi-virtual braid groups
Valeriy G. Bardakov, Tatyana A. Kozlovskaya, Komal Negi +1
L. Kauffman (2024) introduced multi-virtual and symmetric multi-virtual braid groups, which are generalizations of the virtual braid group. We introduce multi-virtual pure and mult…
Cayley graphs and their growth functions for multivalued groups
Valeriy G. Bardakov, Tatyana A. Kozlovskaya, Matvei N. Zonov
We define the Cayley graph and its growth function for multivalued groups. We prove that if we change a finite set of generators of multivalued group, or change the starting point,…
Multi-groups
Tatyana A. Kozlovskaya
In the present paper we define homogeneous algebraic systems. Particular cases of these systems are: semigroup (monoid, group) system. These algebraic systems were studied by J. Lo…
n-valued quandles and associated bialgebras
Valeriy G. Bardakov, Tatyana A. Kozlovskaya, Dmitry V. Talalaev
The principal aim of this article is to introduce and study n-valued quandles and n-corack bialgebras. We elaborate the basic methods of this theory, reproduce the coset constructi…
Twisted Virtual Braid Group
Valeriy G. Bardakov, Tatyana A. Kozlovskaya, Komal Negi +1
In this paper we study some subgroups and their decompositions in semi-direct product of the twisted virtual braid group . In particular, the twisted virtual pure braid grou…
Multivalued groups and Newton polyhedron
Valeriy G. Bardakov, Tatyana A. Kozlovskaya
On the set of complex number it is possible to define -valued group for any positive integer . The -multiplication defines a symmetric polynomial $p_n = p_n(x…
Virtual and universal braid groups, their quotients and representations
V. Bardakov, I. Emel'yanenkov, M. Ivanov +3
In the present paper we study structural aspects of certain quotients of braid groups and virtual braid groups. In particular, we construct and study linear representations $B_n\to…
On 3-strand singular pure braid group
Valeriy G. Bardakov, Tatyana A. Kozlovskaya
In the present paper we study the singular pure braid group for . We find generators, defining relations and the algebraical structure of these groups. In particul…