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Galois and universal universal coverings of linear categories and fibre products
(World Scientific, 2012-04)
Let k be a commutative ring. We study the behavior of coverings of k-categories through fiber products and find a criterion for a covering to be Galois or universal.
The fundamental group of an algebra with a strongly simply connected Galois covering
(World Scientific, 2019-03)
In this work, we prove that if a triangular algebra A admits a strongly simply connected universal Galois covering for a given presentation, then the fundamental group associated to this presentation is free.
Um normal estudo sobre a teoria de Galois
(Blumenau, SC., 2022)
Connected gradings and fundamental group
(Mathematical Science Publ, 2010-06)
The main purpose of this paper is to provide explicit computations of the fundamental group of several algebras. For this purpose, given a k-algebra A, we consider the category of all connected gradings of A by a group G ...
Teoría de Galois de álgebras separables sobre un cuerpo
(Universidad de los AndesMatemáticasFacultad de CienciasDepartamento de Matemáticas, 2016)
La teoría de Galois que tiene sus raíces en el álgebra, cuenta con analogías geométricas dadas por revestimientos topológicos. Quizá, la analogía más explicita es aquella dada por los revestimientos sobre superficies de ...
Cartan-Leray spectral sequence for Galois coverings of linear categories
(Academic Press Inc Elsevier Science, 2005-02)
We provide a Cartan-Leray type spectral sequence for the Hochschild-Mitchell (co)homology of a Galois covering of linear categories. We infer results relating the Galois group and Hochschild cohomology in degree one.
A Note On Certain Maximal Curves
(Taylor & Francis IncPhiladelphia, 2017)
The fundamental progroupoid of a general topos
(Elsevier Science, 2008-11)
It is well known that the category of covering projections (that is, locally constant objects) of a locally connected topos is equivalent to the classifying topos of a strict progroupoid (or, equivalently, a localic ...
On the embedding problem for 2+s4 representations
(American Mathematical Society, 2007-12)
Let 2+S4 denote the double cover of S4 corresponding to the element in H2(S4, Z/2Z) where transpositions lift to elements of order 2 and the product of two disjoint transpositions to elements of order 4. Given an elliptic ...
Involuciones, trivoluciones y foliaciones Galois
(Pontificia Universidad Católica del PerúPE, 2017)