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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…
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…
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…