Eliezer Batista

collaborators

3 papers

math.RA2025

Globalization and the biactegory of partial modules

Eliezer Batista, William Hautekiet, Joost Vercruysse

We show that the category of partial modules over a Hopf algebra $H$ is a biactegory (a bimodule category) over the category of global $H$ -modules. The corresponding enrichment of…

math.CT2024

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…

math.RA2024

Partial Hopf actions on generalized matrix algebras

Dirceu Bagio, Eliezer Batista, Hector Pinedo

Let $k$ be a field, $H$ a Hopf algebra over $k$ , and $R = (_{i} M_{j})_{1 \leq i, j \leq n}$ a generalized matrix algebra. In this work, we establish necessary and sufficient con…