H. Pinedo

activity

20162026

most citedOn the separability of the partial skew groupoid ring

8 citations · 21 across the 26 of their papers we have counts for

collaborators

31 papers

math.RA2026

Very good gradings on structural matrix rings

Patrik Lundström, Johan Öinert, Laura Orozco +1

Let $R$ be a nonzero associative unital ring, let $G$ be a group, and let $ρ$ be a preorder on ${1, \dots, n}$ . A $G$ -grading on $ρ$ induces a very good $G$ -grading on the structu…

math.GN2026

On Γ-embeddings and partial actions of function spaces

Luis A. Martínez-Sánchez, Héctor Pinedo, José L. Vilca-Rodríguez

This paper deals with the extension of partial actions of topological groups on topological spaces. Within this framework, we introduce a class of topological embeddings defined vi…

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

Partial actions of groups on generalized matrix rings

Dirceu Bagio, Héctor Pinedo

Let $n$ be a positive integer and $R = (M_{ij})_{1 \leq i, j \leq n}$ be a generalized matrix ring. For each $1 \leq i, j \leq n$ , let $I_{i}$ be an ideal of the ring $R_{i} := M_{ii}$ and denot…

math.RA2023

Very good gradings on matrix rings are epsilon-strong

Patrik Lundström, Johan Öinert, Laura Orozco +1

We investigate properties of group gradings on matrix rings $M_{n} (R)$ , where $R$ is an associative unital ring and $n$ is a positive integer. More precisely, we introduce very good…

math.RA2022

Epsilon-strongly graded rings: Azumaya algebras and partial crossed products

Dirceu Bagio, Luís Martínez, Héctor Pinedo

The main purpose of this paper is to investigate epsilon-strongly graded rings that are partial crossed products. Let $G$ be a group, $A = \oplus_{g \in G} A_{g}$ an epsilon-strongly g…

math.RA2022

The graded structure of Leavittt path algebras viewed as partial skew group rings

Daniel Gonçalves, Laura Orozco, Héctor Pinedo

Let $E$ be a directed graph, $K$ be a field, and $F$ be the free group on the edges of $E$ . In this work, we use the isomorphism between Leavitt path algebras and p…

math.GN2021

A topological correspondence between partial actions of groups and inverse semigroup actions

Luis Martínez, Héctor Pinedo, Carlos Uzcátegui

We present some generalizations of the well-known correspondence, found by R. Exel, between partial actions of a group $G$ on a set $X$ and semigroup homomorphism of $S (G)$ on the…

math.RA2021

Ring theoretic properties of partial skew groupoid rings with applications to Leavitt path algebras

Dirceu Bagio, Víctor Marín, Héctor Pinedo

Let $α = (A_{g}, α_{g})_{g \in G}$ be a group-type partial action of a connected groupoid $G$ on a ring $A = ⨁_{z \in G_{0}} A_{z}$ and $B = A ⋆_{α} G$ the corresponding partial skew groupoi…

math.GN2021

Partial actions of groups on profinite spaces

Luis Martínez, Andrés Villamizar, Héctor Pinedo

We show that for a partial action $η$ with closed domain of a compact group $G$ on a profinite space $X$ the space of orbits $X / \sim_{G}$ is profinite, this leads to the fact that…

math.CT2020

On direct product, semidirect product of groupoids and partial actions

Víctor Marín, Héctor Pinedo

We present some constructions of groupoids as: direct product, semidirect product, and we give necessary and sufficient conditions for a groupoid to be embedded into a direct produ…

math.RA2020★ 1 cited

On the structure of nearly epsilon and epsilon-strongly graded rings

Luis Martínez, Héctor Pinedo, Yerly Soler

In this work we study the classes of epsilon and nearly epsilon-strongly graded rings by a group $G$ . In particular, we extend Dade's theorem to the realm of nearly epsilon-strongl…

math.RA2020★ 4 cited

The commutative inverse semigroup of partial abelian extensions

Dirceu Bagio, Andrés Cañas, Víctor Marín +2

This paper is a new contribution to the partial Galois theory of groups. First, given a unital partial action $α_{G}$ of a finite group $G$ on an algebra $S$ such that $S$ is an $α_G…

math.RA2020★ 1 cited

On partial Galois abelian extensions

Andrés Cañas, Víctor Marín, Héctor Pinedo

In this article we construct the inverse semigroup of equivalence classes of partial Galois abelian extensions of a commutative ring R with same group G, called the Harrison partia…

math.RA2020

Partial actions and cyclic Kummer's theory

Andrés Cañas, Victor Marín, Héctor Pinedo

We introduce a theory of cyclic Kummer extensions of commutative rings for partial Galois extensions of finite groups, extending some of the well-known results of the theory of Kum…

math.RA2020

Object-unital groupoid graded rings, crossed products and separability

Juan Cala, Patrik Nystedt, Héctor Pinedo

We extend the classical construction by Noether of crossed product algebras, defined by finite Galois field extensions, to cover the case of separable (but not necessarily finite o…

math.RA2019

Object-unital groupoid graded modules

Juan Cala, Patrik Lundström, Héctor Pinedo

In a previous article (see \cite{CNP}), we introduced and analyzed ring-theoretic properties of object unital $G$ -graded rings $R$ , where $G$ is a groupoid. In…

math.RA2019

Restriction and Extension of Partial Actions

Dirceu Bagio, Antonio Paques, Héctor Pinedo

Given a partial action $α = (A_{g}, α_{g})_{g \in G}$ of a connected groupoid $G$ on a ring $A$ and an object $x$ of $G$ , the isotropy group $G (x)$ …

math.RA2019★ 3 cited

On partial skew groupoids rings

Dirceu Bagio, Antonio Paques, Héctor Pinedo

Given a partial action $α$ of a connected groupoid $G$ on an associative ring $A$ we investigate under what conditions the partial skew groupoid ring $A\star_α\mathcal{G}…

math.GR2019

Isomorphism Theorems for Groupoids and Some Applications

Jesús Ávila, Víctor Marín, Héctor Pinedo

Using an algebraic point of view we present an introduction to the groupoid theory, that is, we give fundamental properties of groupoids as, uniqueness of inverses and properties o…

math.RA2018

Partial Groupoid Actions on Categories: Globalization and the smash product

V. Marín, H. Pinedo

In this article, we introduce the concept of partial groupoid actions on R- semicategories as well as we give criteria for existence of a globalization of it. This point of view is…

math.RA2018

Lifting partial actions: from groups to groupoids

Dirceu Bagio, Antonio Paques, Héctor Pinedo

In this paper, we are interested in the study of the existence of connections between partial groupoid actions and partial group actions. Precisely, we prove that there exists a da…

math.RA2018

Epsilon-strongly groupoid graded rings, the Picard inverse category and cohomology

Patrik Nystedt, Johan Öinert, Héctor Pinedo

We introduce the class of partially invertible modules and show that it is an inverse category which we call the Picard inverse category. We use this category to generalize the cla…

math.RA2018★ 1 cited

Partial Galois cohomology and related homomorphisms (expanded version)

M. Dokuchaev, A. Paques, H. Pinedo

For a partial Galois extension of commutative rings we give a seven terms sequence, which is an analogue of the Chase-Harrison-Rosenberg sequence.