Results 91 to 100 of about 5,376,358 (214)
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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Abelian threefolds with imaginary multiplication
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract Let A$A$ be an abelian threefold defined over a number field K$K$ with potential multiplication by an imaginary quadratic field M$M$. Under mild assumptions on K$K$, if A$A$ has signature (2,1) and the multiplication by M$M$ is defined over KM$KM$, we attach to A$A$ an elliptic curve defined over K$K$ with potential complex multiplication by M$
Francesc Fité, Pip Goodman
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On local Galois deformation rings: generalised reductive groups
Forum of Mathematics, PiWe study deformation theory of mod p Galois representations of p-adic fields with values in generalised reductive group schemes, such as L-groups and C-groups.
Vytautas Paškūnas, Julian Quast
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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
doaj
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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Category Theory and Galois Theory Category Theory and Galois Theory
, 2020 . Galois theory translates questions about fields into questions about groups. The fundamental theorem of Galois theory states that there is a bijection between the intermediate fields of a field extension and the subgroups of the corresponding Galois ...
Amanda Bower
core
Design and implementation of distributed Galois [PDF]
, 2013 textThe Galois system provides a solution to the hard problem of parallelizing irregular algorithms using amorphous data-parallelism. The present system works on the shared-memory programming model. The programming model has limitations on the memory and
Dhanapal, Manoj
core
, 2001 Starting from the classical finite-dimensional Galois theory of fields, this book develops Galois theory in a much more general context, presenting work by Grothendieck in terms of separable algebras and then proceeding to the infinite-dimensional case, which requires considering topological Galois groups.
Francis Borceux, George Janelidze
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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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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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