43 citations · 330 across the 44 of their papers we have counts for
52 papers
Totally compatible structures on the radical of an incidence algebra
Mykola Khrypchenko
We describe totally compatible structures on the Jacobson radical of the incidence algebra of a finite poset over a field. We show that such structures are in general non-proper.
Globalization of partial monoid actions via abstract rewriting systems
Mykola Khrypchenko, Francisco Klock
We study the globalization problem for a strong partial action of a monoid on a semigroup via the associated rewriting system . We show that the local conf…
Quantum upper triangular matrix algebras
Érica Z. Fornaroli, Mykola Khrypchenko, Samuel A. Lopes +1
Following the ideas in~\cite{yM88}, \cite{T90} and inspiration from~\cite{KO24}, we construct a bialgebra and a pointed Hopf algebra which quantize the coordinat…
Bilinear maps having Jordan product property
Jorge J. Garcés, Mykola Khrypchenko
We study symmetric continuous bilinear maps on a C-algebra that have the Jordan product property at a fixed element . We show that, whenever is a finite dir…
Homology and cohomology of crossed products by inverse monoid actions and Steinberg algebras
Mikhailo Dokuchaev, Mykola Khrypchenko, Juan Jacobo Simón
Given a unital action of an inverse monoid on an algebra over a filed we produce (co)homology spectral sequences which converge to the Hochschild (co)homology of th…
Partial actions of groups on monoidal categories
Eliezer Batista, Felipe Lopes Castro, Mykola Khrypchenko
In this work, we introduce the notion of a partial action of a group on a strict monoidal category. We propose, in the context of Monoidal categories, new constructions analogous t…