Results 31 to 40 of about 52,130 (181)

Galois coverings of one-sided bimodule problems

Pracì Mìžnarodnogo Geometričnogo Centru, 2021
Applying geometric methods of 2-dimensional cell complex theory, we construct a Galois covering of a bimodule problem satisfying some structure, triangularity and finiteness conditions in order to describe the objects of finite representation type.
Vyacheslav Babych, Nataliya Golovashchuk
doaj   +1 more source

Groups of generalized G‐type and applications to torsion subgroups of rational elliptic curves over infinite extensions of Q

Transactions of the London Mathematical Society, 2019
Recently, there has been much interest in studying the torsion subgroups of elliptic curves base‐extended to infinite extensions of Q. In this paper, given a finite group G, we study what happens with the torsion of an elliptic curve E over Q when ...
Harris B. Daniels, Maarten Derickx, Jeffrey Hatley   +2 more
doaj   +1 more source

Real difference Galois theory

, 2017
In this paper, we develop a difference Galois theory in the setting of real fields. After proving the existence and uniqueness of the real Picard-Vessiot extension, we define the real difference Galois group and prove a Galois correspondence.Comment ...
Dreyfus, Thomas
core   +3 more sources

Skew-Forms and Galois Theory

Comptes Rendus. Mathématique
Let $L/K$ be a cyclic extension of degree $n = 2m$. It is known that the space $\mathrm{Alt}_K(L)$ of alternating $K$-bilinear forms (skew-forms) on $L$ decomposes into a direct sum of $K$-subspaces $A^{\sigma ^i}$ indexed by the elements of $\mathrm{Gal}
Gupta, Ashish, Mandal, Sugata
doaj   +1 more source

Galois theory and commutators

, 2011
We prove that the relative commutator with respect to a subvariety of a variety of Omega-groups introduced by the first author can be described in terms of categorical Galois theory. This extends the known correspondence between the Froehlich-Lue and the
A. Fröhlich, A. Ursini, A.S.-T. Lue, D. Bourn, D. Bourn, D. Rodelo, F. Borceux, G Janelidze, G. Janelidze, G. Janelidze, J. Furtado-Coelho, J. Goedecke, P.J. Higgins, T. Everaert, T. Everaert, T. Everaert, T. Everaert, T. Everaert, T. Everaert, T. Everaert, T. Everaert, Tim Van der Linden, Tomas Everaert   +22 more
core   +1 more source

Localic Galois theory

Advances in Mathematics, 2003
In Proposition I of "Memoire sur les conditions de resolubilite des equations par radicaux", Galois established that any intermediate extension of the splitting field of a polynomial with rational coefficients is the fixed field of its galois group. We first state and prove the (dual) categorical interpretation of of this statement, which is a theorem ...
openaire   +3 more sources

Computing Bonds Between Formal Contexts

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The notion of bond was introduced as a technique to aggregate information from multiple datasets without modifying the information already present in each of the datasets. This notion has been extended to several fuzzy frameworks, including the residuated lattice setting, which we also consider in this paper.
Roberto G. Aragón, Jesús Medina, Samuel Molina‐Ruiz   +2 more
wiley   +1 more source

A new discretization of the Euler equation via the finite operator theory [PDF]

Open Communications in Nonlinear Mathematical Physics
We propose a novel discretization procedure for the classical Euler equation, based on the theory of Galois differential algebras and the finite operator calculus developed by G.C. Rota and collaborators.
Miguel A. Rodríguez, Piergiulio Tempesta   +1 more
doaj   +1 more source

Differential Galois theory II

Annals of Pure and Applied Logic, 1997
This paper proposes a generalization of Kolchin's Galois theory of differential fields. In the Kolchin theory, the Galois groups correspond to algebraic groups over the subfield of constants; moreover every algebraic group can arise in this way. In this paper, the constants are replaced by an arbitrary differential algebraic set \(X\). Accordingly, \(X\
openaire   +4 more sources

Galois Theory for H-extensions and H-coextensions [PDF]

, 2011
We show that there exists a Galois correspondence between subalgebras of an H-comodule algebra A over a base ring R and generalised quotients of a Hopf algebra H.
Marciniak, Dorota, Szamotulski, Marcin
core