activity
20182021
most citedOn partial Galois abelian extensions

1 citations · 1 across the 5 of their papers we have counts for

collaborators

7 papers

math.RA2021

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

Dirceu Bagio, Víctor Marín, Héctor Pinedo

Let be a group-type partial action of a connected groupoid on a ring and the corresponding partial skew groupoi…

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.RA20201 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.GR2019

On normal subgroupoids

Jesús Ávila, Víctor Marín

In this paper we present some algebraic properties of subgroupoids and normal subgroupoids. We define the normalizer of a wide subgroupoid and show that, as in the ca…

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…