25 citations · 57 across the 22 of their papers we have counts for
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math.GT2016
On Realizability of Gauss Diagrams
Andrey Grinblat, Viktor Lopatkin
The problem of which Gauss diagram can be realized by knots is an old one and has been solved in several ways. In this paper, we present a direct approach to this problem. We show…
math.RA2016
On the homological dimensions of Leavitt path algebras with coefficients in commutative rings
V. Lopatkin, T. G. Nam
In this paper, we give sharp bounds for the homological dimensions of the Leavitt path algebra of a finite graph with coefficients in a commutative ring , as well a…
math.RA2016
Derivations of the Leavitt path algebra W(n)
Viktor Lopatkin
The aim of this paper is to describe all inner and all outer derivations of Leavitt path algebra W(n) via explicit formulas. In fact the space of all inner and all outer derivation…