4 citations · 5 across the 7 of their papers we have counts for
4 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…
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…