8 citations · 21 across the 26 of their papers we have counts for
6 papers · 1 filter
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…
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 . In particular, we extend Dade's theorem to the realm of nearly epsilon-strongl…
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 of a finite group on an algebra such that is an $α_G…
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…
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…
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…