Results 51 to 60 of about 53,079 (211)
Differential Galois Theory and Hopf Algebras for Lie Pseudogroups
AxiomsAccording to a clever but rarely quoted or acknowledged work of E. Vessiot that won the prize of the Académie des Sciences in 1904, “Differential Galois Theory” (DGT) has mainly to do with the study of “Principal Homogeneous Spaces” (PHSs) for finite ...
Jean-Francois Pommaret
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Rough sets based on Galois connections
International Journal of Applied Mathematics and Computer Science, 2020 Rough set theory is an important tool to extract knowledge from relational databases. The original definitions of approximation operators are based on an indiscernibility relation, which is an equivalence one.
Madrid Nicolás +2 more
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On separable algebras in Grothendieck Galois theory
Le Matematiche, 1996 We give an explicit proof of the fundamental theorem of Grothendieck Galois theory: the category of separable algebras over a field K is anti-equivalent to the category of continuous actions on finite sets of the profinite fundamental group of K.
Federico G. Lastaria
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Journal of Applied Mathematics, 2013 This paper is an attempt to develop quantitative domain theory over frames. Firstly, we propose the notion of a fuzzy basis, and several equivalent characterizations of fuzzy bases are obtained.
Sanping Rao, Qingguo Li
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These are the notes for an undergraduate course at the University of Edinburgh, 2021-2023. Assuming basic knowledge of ring theory, group theory and linear algebra, the notes lay out the theory of field extensions and their Galois groups, up to and including the fundamental theorem of Galois theory.
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Modularity of trianguline Galois representations
Forum of Mathematics, SigmaWe use the theory of trianguline $(\varphi ,\Gamma )$ -modules over pseudorigid spaces to prove a modularity lifting theorem for certain Galois representations which are trianguline at p, including those with characteristic p coefficients.
Rebecca Bellovin
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Meromorphic Non-Integrability of Several 3D Dynamical Systems
Entropy, 2017 In this paper, we apply the differential Galoisian approach to investigate the meromorphic non-integrability of a class of 3D equations in mathematical physics, including Nosé–Hoover equations, the Lü system, the Rikitake-like system and Rucklidge ...
Kaiyin Huang, Shaoyun Shi, Wenlei Li
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On the geometrization of a lemma of differential Galois theory [PDF]
, 2010 Colas Bardavid
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Additive structure of multiplicative subgroups of fields and Galois theory [PDF]
, 2001 Louis Pascal Mahé +2 more
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