4 citations · 4 across the 5 of their papers we have counts for
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Garside Theory: a Composition--Diamond Lemma Point of View
Viktor Lopatkin
This paper shows how to obtain the key concepts and notations of Garside theory by using the Composition--Diamond lemma. We also show in some cases the greedy normal form is exactl…
-derivations of Lie algebras and transposed Poisson algebras
Bruno Leonardo Macedo Ferreira, Ivan Kaygorodov, Viktor Lopatkin
A relation between -derivations of Lie algebras and transposed Poisson algebras was established. Some non-trivial transposed Poisson algebras with a certain Lie algebr…
The variety of dual mock-Lie algebras
Luisa M. Camacho, Ivan Kaygorodov, Victor Lopatkin +1
We classify all complex - and -dimensional dual mock-Lie algebras by algebraic and geometric way. Also we find all non-trivial complex -dimensional dual mock-Lie algebras.
Bipartite Graphs as Polynomials, and Polynomials as Bipartite Graphs (with a view towards dividing in )
Andrey Grinblat, Viktor Lopatkin
The aim of this paper is to show that any finite undirected bipartite graph can be considered as a polynomial , and any directed finite bipartite graph can be…
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…