Results 31 to 40 of about 53,079 (211)
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
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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 +2 more
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Advances in Mathematics, 2016 We introduce an abstract topos-theoretic framework for building Galois-type theories in a variety of different mathematical contexts; such theories are obtained from representations of certain atomic two-valued toposes as toposes of continuous actions of a topological group.
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From Galois to Hopf Galois: theory and practice
, 2014 Hopf Galois theory expands the classical Galois theory by considering the Galois property in terms of the action of the group algebra k[G] on K/k and then replacing it by the action of a Hopf algebra.
Crespo, Teresa +2 more
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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 ...
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A new discretization of the Euler equation via the finite operator theory [PDF]
Open Communications in Nonlinear Mathematical PhysicsWe 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 +1 more
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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\
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Construction of q-ary(n,M,d)-codes in PG(2,16)
Wasit Journal for Pure Sciences, 2023 The goal of this paper was to study the applications of the projective plane PG (2, q) over a Galois field of order q in the projective q-ary (n, M, d) -code such that the parameters length of code n, the maximum value size code M, and the minimum ...
Dunya Fareeq Fendi +1 more
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Reduced group schemes as iterative differential Galois groups
, 2019 This article is on the inverse Galois problem in Galois theory of linear iterative differential equations in positive characteristic. We show that it has an affirmative answer for reduced algebraic group schemes over any iterative differential field ...
Maurischat, Andreas
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On the Galoisian Structure of Heisenberg Indeterminacy Principle [PDF]
, 2013 We revisit Heisenberg indeterminacy principle in the light of the Galois-Grothendieck theory for the case of finite abelian Galois extensions. In this restricted framework, the Galois-Grothendieck duality between finite K-algebras split by a Galois ...
Catren, Gabriel, Page, Julien
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