Results 11 to 20 of about 52,130 (181)
The Galois group of a stable homotopy theory [PDF]
Advances in Mathematics, 2016 To a "stable homotopy theory" (a presentable, symmetric monoidal stable $\infty$-category), we naturally associate a category of finite \'etale algebra objects and, using Grothendieck's categorical machine, a profinite group that we call the Galois group.
Mathew, Akhil
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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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Journal of Symbolic Computation, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Diaz-Toca, G.M., Lombardi, H.
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Galois Theory for Finite Algebras of Operations and Multioperations of Rank 2
Известия Иркутского государственного университета: Серия "Математика", 2019 The construction of Galois theory for the algebras of operations and relations is a popular topic for investigation. It finds numerous applications in both algebra and discrete mathematics – especially for the perfect Galois connection, since if such a ...
N.A. Peryazev
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SERRE WEIGHTS AND WILD RAMIFICATION IN TWO-DIMENSIONAL GALOIS REPRESENTATIONS
Forum of Mathematics, Sigma, 2016 A generalization of Serre’s Conjecture asserts that if $F$ is a totally real field, then certain characteristic
LASSINA DEMBÉLÉ +2 more
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Galois theory for semiclones [PDF]
, 2015 We present a Galois theory connecting finitary operations with pairs of finitary relations one of which is contained in the other. The Galois closed sets on both sides are characterised as locally closed subuniverses of the full iterative function ...
Behrisch, Mike
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Tannakian duality for Anderson-Drinfeld motives and algebraic independence of Carlitz logarithms [PDF]
, 2007 We develop a theory of Tannakian Galois groups for t-motives and relate this to the theory of Frobenius semilinear difference equations. We show that the transcendence degree of the period matrix associated to a given t-motive is equal to the dimension ...
A. Tamagawa +31 more
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Advanced Engineering Research, 2018 Introduction. Polynomials in several variables over Galois fields provide the basis for the Reed-Muller coding theory, and are also used in a number of cryptographic problems.
V. M. Deundyak, N. S. Mogilevskaya
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Some definable Galois theory and examples [PDF]
, 2016 We make explicit certain results around the Galois correspondence in the context of definable automorphism groups, and point out the relation to some recent papers dealing with the Galois theory of algebraic differential equations when the constants are ...
Pillay, Anand, Sanchez, Omar Leon
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A History of Selected Topics in Categorical Algebra I: From Galois Theory to Abstract Commutators and Internal Groupoids [PDF]
Categories and General Algebraic Structures with Applications, 2016 This paper is a chronological survey, with no proofs, of a direction in categorical algebra, which is based on categorical Galois theory and involves generalized central extensions, commutators, and internal groupoids in Barr exact Mal’tsev and more ...
George Janelidze
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