Results 31 to 40 of about 7,538,990 (210)
On the notion of indiscernibility in the light of Galois-Grothendieck Theory [PDF]
, 2013 We analyze the notion of indiscernibility in the light of the Galois theory of field extensions and the generalization to K-algebras proposed by Grothendieck.
Catren, Gabriel, Page, Julien
core
Galois structure of Zariski cohomology for weakly ramified covers of curves
, 2004 We compute equivariant Euler characteristics of locally free sheaves on curves, thereby generalizing several results of Kani and Nakajima. For instance, we extend Kani's computation of the Galois module structure of the space of global meromorphic ...
Koeck, Bernhard
core +1 more source
Electronic Fourier–Galois Spectrum Analyzer for the Field GF(31)
Applied SciencesA scheme for the Fourier–Galois spectrum analyzer for the field GF(31) is proposed. It is shown that this analyzer allows for solving a wide enough range of problems related to image processing, in particular those arising in the course of experimental ...
Kaisarali Kadyrzhan +5 more
doaj +1 more source
A block encryption algorithm based on exponentiation transform
Cogent Engineering, 2020 This paper proposes a new block encryption algorithm for cryptographic information protection. It describes a new transformation method EM (Exponentiation Module), which is part of the algorithm, and a method of S-box obtaining.
Nursulu Kapalova +3 more
doaj +1 more source
On Galois fields of certain types [PDF]
Transactions of the American Mathematical Society, 1930 Several writers have considered the relations between the c-functions of an algebraic field and some of its subfields. Thus Artint has, in a particular case, considered the question of the divisibility of the c-function of a field by that of a subfield. In another paperl he has shown how all possible c-relations can be found.
openaire +1 more source
On the additive image of zeroth persistent homology
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer +3 more
wiley +1 more source
On Hopf Galois Hirata extensions
International Journal of Mathematics and Mathematical Sciences, 2003 Let H be a finite-dimensional Hopf algebra over a field K, H* the dual Hopf algebra of H, and B a right H*-Galois and Hirata separable extension of BH. Then B is characterized in terms of the commutator subring VB(BH) of BH in B and the smash product VB ...
George Szeto, Lianyong Xue
doaj +1 more source
Rational points on even‐dimensional Fermat cubics
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
wiley +1 more source
Hyperbolicity and fundamental groups of complex quasi‐projective varieties (III): Applications
Proceedings of the London Mathematical Society, Volume 133, Issue 5, November 2026.Abstract This paper is Part III of a series of three. We begin by introducing the notion of h$h$‐special varieties, which can be seen as varieties “chain‐connected by the Zariski closures of entire curves.” We prove that if X$X$ is either a special smooth complex quasi‐projective variety in the sense of Campana or an h$h$‐special variety, then for any ...
Benoît Cadorel +2 more
wiley +1 more source
Coincidence of two Swan conductors of abelian characters [PDF]
Épijournal de Géométrie Algébrique, 2019 There are two ways to define the Swan conductor of an abelian character of the absolute Galois group of a complete discrete valuation field. We prove that these two Swan conductors coincide.
Kazuya Kato, Takeshi Saito
doaj +1 more source