M. Khrypchenko

activity

20242026

collaborators

8 papers

math.GR2026

Globalization of partial monoid actions via abstract rewriting systems

Mykola Khrypchenko, Francisco Klock

We study the globalization problem for a strong partial action $I^\pm$ of a monoid $M$ on a semigroup $X$ via the associated rewriting system $(X_{M}^{+}, \to)$ . We show that the local con…

math.QA2026

Quantum upper triangular matrix algebras

Ãrica 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 $T_{q} (n)$ and a pointed Hopf algebra $U T_{q} (n)$ which quantize the coordinat…

math.RA2026

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.

math.RA2026

Homology and cohomology of crossed products by inverse monoid actions and Steinberg algebras

Mikhailo Dokuchaev, Mykola Khrypchenko, Juan Jacobo SimÃ³n

Given a unital action $I^¸$ of an inverse monoid $S$ on an algebra $A$ over a filed $K$ we produce (co)homology spectral sequences which converge to the Hochschild (co)homology of t…

math.CT2026

Partial monoid actions on objects in categories with pullbacks and their globalizations

Mykola Khrypchenko, Francisco Klock

Let $M$ be a monoid, $C$ a category with pullbacks and $X$ an object of $C$ . We introduce the notion of a partial action $I^\pm$ of $M$ on $X$ and study the global…

math.OA2025

Bilinear maps having Jordan product property

We study symmetric continuous bilinear maps $V$ on a C $^{*}$ -algebra $A$ that have the Jordan product property at a fixed element $z \in A$ . We show that, whenever $A$ is a finite dir…