13 citations · 16 across the 11 of their papers we have counts for
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The Weight Criterion, Dong Property, and Manin Products of Operads
P. Kolesnikov, B. Sartayev
We establish that, for a binary operad Var, the Hadamard product of Var and the operad Nov of Novikov algebras is a binary operad (i.e., coincides with their Manin white product No…
On the structure of finite Novikov conformal algebras
Pavel Kolesnikov, Jiefeng Liu
We classify finite simple Novikov conformal algebras over an algebraically closed field of characteristic zero. The classification consists of the current conformal algebra over th…
Initial pre-algebras as a generalization of dendriform algebras
P. S. Kolesnikov, B. K. Sartayev
We continue the study of \emph{initial dialgebras} defined in~\cite{DMS2026}. For a binary operad $\Var$ we define the class of initial pre-$\Var$-algebras and the corresponding op…
Chiral algebras with abelian conformal part
I. V. Dudin, P. S. Kolesnikov
We study a categorical approach to the concept of varieties of chiral algebras. We prove that the class of chiral algebras in the variety defined by a binary quadratic operad Var,…