Results 31 to 40 of about 408 (185)

Sur la 2-Extension Maximale Non Ramifiée de la Z2-Extension Cyclotomique de Certains Corps Quadratiques

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
Soient ℓ et ℓ' deux nombres premiers distincts, k = Q(√ℓℓ') et k∞ la Z2-extension cyclotomique de k. Soient L∞ la 2-extension maximale non ramifiée sur k∞ et L∞ la sous-extension abélienne maximale de L∞/k∞.
Mouhib Ali
doaj   +1 more source

Practice of the Incomplete $p$-Ramification Over a Number Field -- History of Abelian $p$-Ramification

open access: yesCommunications in Advanced Mathematical Sciences, 2019
The theory of $p$-ramification, regarding the Galois group of the maximal pro-$p$-extension of a number field $K$, unramified outside $p$ and $\infty$, is well known including numerical experiments with PARI/GP programs.
Georges Gras
doaj   +1 more source

An Innovative Approach to Multi‐Valued Logic

open access: yesIEEJ Transactions on Electrical and Electronic Engineering, EarlyView.
The current generation of computer systems operates on the principles of binary logic, which encompasses both logical and arithmetic operations. However, silicon technology has reached its peak performance, prompting researchers to explore alternative methods for enhancing computational efficiency. One such method is the adoption of Multi‐Valued Logic (
Ali Mokhtari, Peyman Kabiri
wiley   +1 more source

ON THE IRREDUCIBLE COMPONENTS OF SOME CRYSTALLINE DEFORMATION RINGS

open access: yesForum of Mathematics, Sigma, 2020
We adapt a technique of Kisin to construct and study crystalline deformation rings of $G_{K}$ for a finite extension $K/\mathbb{Q}_{p}$. This is done by considering a moduli space of Breuil–Kisin modules, satisfying an additional Galois condition, over ...
ROBIN BARTLETT
doaj   +1 more source

Hopf Quasigroup Galois Extensions and a Morita Equivalence

open access: yesMathematics, 2023
For H, a Hopf coquasigroup, and A, a left quasi-H-module algebra, we show that the smash product A#H is linked to the algebra of H invariants AH by a Morita context.
Huaiwen Guo, Shuanhong Wang
doaj   +1 more source

On the additive image of zeroth persistent homology

open access: yesTransactions 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

The eigenspaces of twisted polynomials over cyclic field extensions

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023
Let K be a field and σ an automorphism of K of order n. Employing a nonassociative algebra, we study the eigenspace of a bounded skew polynomial f ∈ K[t; σ].
Owen Adam, Pumplün Susanne
doaj   +1 more source

Quantization viewed as Galois extension [PDF]

open access: yesProgress of Theoretical and Experimental Physics, 2019
17 ...
Sugamoto, Mamoru, Sugamoto, Akio
openaire   +2 more sources

Rational points on even‐dimensional Fermat cubics

open access: yesTransactions 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

The general Ikehata theorem for H-separable crossed products

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2000
Let B be a ring with 1,   C the center of B,   G an automorphism group of B of order n for some integer n,   CG the set of elements in C fixed under G,   Δ=Δ(B,G,f) a crossed product over B where f is a factor set from G×G to U(CG). It is shown that Δ is
George Szeto, Lianyong Xue
doaj   +1 more source

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