25 citations · 57 across the 22 of their papers we have counts for
7 papers · 1 filter
On meandric permutations
Viktor Lopatkin
We give a bijection between meanders and special sorts of Gauss diagrams which aroused from the Thurston generators of braid groups. It allows us to give an algorithm to construct…
On Realizability Of Gauss Diagrams And Constructions Of Meanders
Andrey Grinblat, Viktor Lopatkin
The problem of which Gauss diagram can be realized by plane curves is an old one and has been solved in several ways. In this paper, we present a direct approach to this problem. W…
Thurston's Operations on the Braid Groups
Viktor Lopatkin
In this paper we study Thurston's automaton on the braid groups via binary operations. These binary operations are obtained from the construction of this automaton. We study these…
Derivations of Leavitt path algebra
Viktor Lopatkin
In this paper, we describe the -module of outer derivations of the Leavitt path algebra of a row-finite graph with coefficients in an associative com…
Cohomology Rings of Plactic Monoid Algebra via Groubner-Shirshov Basis
Viktor Lopatkin
In this paper we shall calculate the cohomology ring and Hochschild's cohomology ring of plactic monoid algebra via Anick's resolution using Groubner-Shirshov basis
Homology of a Leavitt Path Algebra via Anick's Resolution
Viktor Lopatkin
The aim of this paper is to calculate the homology of a Leavitt path algebra via Anick's resolution. We show that all homology (in positive degrees) of a Leavitt path algebra is eq…
The Homology groups of right pointed sets over a partially commutative monoid
V. Lopatkin
We study the homology of pointed sets over a partially commutative monoid.