Results 71 to 80 of about 51,885 (183)

Fuzzy Bases of Fuzzy Domains

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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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, Medina Jesús, Ramírez-Poussa Eloísa   +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
doaj  

Galois Theory

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, Sigma
We 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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Bridging 4D QFTs and 2D VOAs via 3D high-temperature EFTs

Journal of High Energy Physics
The high-temperature limit of the superconformal index, especially on higher sheets, often captures useful universal information about a theory. In 4d N = 2 $$ \mathcal{N}=2 $$ superconformal field theories with fractional r-charges, there exists a ...
Arash Arabi Ardehali, Mykola Dedushenko, Dongmin Gang, Mikhail Litvinov   +3 more
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Galois descent in Galois theories

, 2010
Inspired by Kummer theory on abelian varieties, we give similar looking descriptions of the Galois groups occuring in the differential Galois theories of Picard-Vessiot, Kolchin and Pillay, and mention some arithmetic applications.
openaire   +2 more sources

Looking for the G 2 Higgs branch of 4D rank 1 SCFTs

Journal of High Energy Physics
The Schur index of the Higgs branch of 4-dimensional N $$ \mathcal{N} $$ = 2 SCFTs is related to the spectrum of non-unitary 2-dimensional CFTs. The rank 1 case has been shown to lead to the non-unitary CFTs with Deligne-Cvitanovic (DC) exceptional ...
Md. Abhishek, Sachin Grover, Dileep P. Jatkar, Kajal Singh   +3 more
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A Meta-Logical Framework for the Equivalence of Syntactic and Semantic Theories

Philosophies
This paper introduces a meta-logical framework—based on the theory of institutions (a categorical version of abstract model theory)—to be used as a tool for the formalization of the two main views regarding the structure of scientific theories, namely ...
Maria Dimarogkona, Petros Stefaneas, Nicola Angius   +2 more
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