Results 71 to 80 of about 26,376 (196)
Mathematika, Volume 72, Issue 2, April 2026.Abstract In this paper, we study traces of Hecke operators on Drinfeld modular forms of level 1 in the case A=Fq[T]$A = \mathbb {F}_q[T]$. We deduce closed‐form expressions for traces of Hecke operators corresponding to primes of degree at most 2 and provide algorithms for primes of higher degree.
Sjoerd de Vries
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International Journal of Mathematics and Mathematical Sciences, 2003 A correspondence between quartic étale algebras over a field and quadratic étale extensions of cubic étale algebras is set up and investigated. The basic constructions are laid out in general for sets with a profinite group action and for torsors, and ...
Max-Albert Knus, Jean-Pierre Tignol
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Ordinary primes for GL2$\operatorname{GL}_2$‐type abelian varieties and weight 2 modular forms
Mathematika, Volume 72, Issue 2, April 2026.Abstract Let A$A$ be a g$g$‐dimensional abelian variety defined over a number field F$F$. It is conjectured that the set of ordinary primes of A$A$ over F$F$ has positive density, and this is known to be true when g=1,2$g=1, 2$, or for certain abelian varieties with extra endomorphisms.
Tian Wang, Pengcheng Zhang
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Skew group rings which are Galois
International Journal of Mathematics and Mathematical Sciences, 2000 Let S*G be a skew group ring of a finite group G over a ring S. It is shown that if S*G is an G′-Galois extension of (S*G)G′, where G′ is the inner automorphism group of S*G induced by the elements in G, then S is a G-Galois extension of SG.
George Szeto, Lianyong Xue
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Biases towards the zero residue class for quadratic forms in arithmetic progressions
Mathematika, Volume 72, Issue 2, April 2026.Abstract We prove a bias towards the zero residue class in the distribution of the integers represented by binary quadratic forms. In most cases, we prove that the bias comes from a secondary term in an associated asymptotic expansion. This is unlike Chebyshev's bias, which exists somewhere at the level of O(x1/2+ε)$O(x^{1/2+\varepsilon })$.
Jeremy Schlitt
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Separable subalgebras of a class of Azumaya algebras
International Journal of Mathematics and Mathematical Sciences, 1998 Let S be a ring with 1, C the center of S, G a finite automorphism group of S of order n invertible in S, and SG the subnng of elements of S fixed under each element in G. It is shown that the skew group ring S*G is a G′-Galois extension of (S*G)G′ that
George Szeto
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Twistings and Hopf Galois Extensions
Journal of Algebra, 2000 Let \(H\) be a Hopf algebra with bijective antipode over a commutative ring \(R\), let \(A\) be a right \(H\)-comodule algebra, and let \(B\) be the subalgebra of \(H\)-coinvariant elements of \(A\). A mapping \(\tau\) of \(H\otimes A\) into \(A\) may be used to define a new multiplication on the \(H\)-comodule \(A\) by the rule: \(a*a'=\sum a_0\tau ...
Beattie, Margaret, Torrecillas, Blas
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Attribute Implication Bases From Galois Connection Structures
Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2729-2753, 15 March 2026.ABSTRACT Modeling knowledge systems by determining relationships among key variables have been and currently is a fundamental and nontrivial challenge in real‐world scenarios. Many approaches have been developed to reach this goal, but many of them are heuristic and require of alternative procedures to provide robust and tractable rules.
M. Eugenia Cornejo +2 more
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Network Security Empowered Digital Teaching Data Protection Algorithm for Ceramic Technology
Engineering Reports, Volume 8, Issue 3, March 2026.In this paper, a complete algorithm system covering sensitivity identification, feature fusion, encrypted transmission and cultural image protection is established based on the ceramic teaching scene enabled by network security. ABSTRACT The digitalization of ceramic technology teaching generates sensitive multi‐modal data, including personal ...
Yuting Zhu +3 more
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Galois extensions induced by a central idempotent in a partial Galois extension
International Journal of Algebra, 2014 Let (R,α) be a partial Galois extension of RαG with a partial action of a finite group G, e a non-zero central idempotent in R, 1g the central idempotent associated with g ∈ G, and E = e(Πg∈G1g) 6= 0 with a maximal number of factors 1g for g ∈ G. A sufficient condition for a Galois extension Re with Galois group H(e) and for a Galois extension RE with ...
Xiao-Long Jiang, George Szeto
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