Eliezer Batista

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20232026

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3 papers · 1 filter

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.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…

math.RA2023

Towards a classification of simple partial comodules of Hopf algebras

Eliezer Batista, William Hautekiet, Paolo Saracco +1

Making the first steps towards a classification of simple partial comodules, we give a general construction for partial comodules of a Hopf algebra $H$ using central idempotents…