Results 251 to 260 of about 1,299,040 (282)

Prime Segments of Skew Fields

Canadian Journal of Mathematics, 1995
AbstractAn additive subgroupPof a skew fieldFis called aprimeofFifPdoes not contain the identity, but if the productxyof two elementsxandyinFis contained inP, thenxoryis inP. A prime segment ofFis given by two neighbouring primesP1⊃P2; such a segment is invariant, simple, or exceptional depending on whetherA(P1) = {a∈P1|P1aP1⊂P1} equalsP1,P2or lies ...
Brungs, H. H., Schröder, M.
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Affine extractors over prime fields

Combinatorica, 2011
An affine extractor is a map from the \(n\)-dimensional vector space over a finite field to the field that is balanced on every affine subspace of sufficiently large dimension. Affine extractors have been studied by \textit{A.~Gabizon} and \textit{R.~Raz} [Combinatorica 28, No.
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A New Characterization of Finite Prime Fields

Canadian Mathematical Bulletin, 1968
Let N ≡ <N, +,.> be a (right) near-ring with 1 (we say N is a unitary near-ring)[1] and recall that a near-field is a unitary near-ring in which <N - {0}, . > is a multiplicative group. In [2], Beidelman characterizes near-fields as those unitary near-rings without non-trivial N-subgroups. We show that in the finite case this absence of non-
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ON RADICAL FIELD EXTENSIONS OF PRIME EXPONENT

Journal of Algebra and Its Applications, 2002
In this paper we investigate finite separable radical extensions K ⊆ L of prime exponent via the concept of G-Cogalois extension. As particular cases we retrieve some older results in I. Kaplansky [9] and A. Baker and H. M. Stark [7] concerning such radical extensions.
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On singular primes in function fields

Archiv der Mathematik, 1988
Sei F ein separabel erzeugter Funktionenkörper in einer Variablen mit Konstantenkörper K der Charakteristik p. Sei \(F'=K'\cdot F\) eine Konstantenkörpererweiterung. Ein Primdivisor von F heißt K'- regulär, wenn der ganze Abschluß seines lokalen Ringes in F' durch Konstantenkörpererweiterung hervorgeht, andernfalls heißt er K'- singulär.
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Prime Tuples in Function Fields

2016
How many prime numbers are there? How are they distributed among other numbers? These are questions that have intrigued mathematicians since ancient times. However, many questions in this area have remained unsolved, and seemingly unsolvable in the forseeable future.
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ON REDUCTION MODULO A PRIME OF FIELDS OF MODULAR FUNCTIONS

Mathematics of the USSR-Izvestiya, 1968
We study the reduction modulo p of a subring of the field of modular functions K(p∞) modulo p. We obtain a generalization of a known congruence of Weber.
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Normal Rational Curves Over Prime Fields

Designs, Codes and Cryptography, 1997
A \(k\)-arc of \(PG(n,q)\), with \(k \geq n+1\), is set of \(k\) points of \(PG(n,q)\) such that no \(n+1\) of them belong to a hyperplane. Standard examples of \((q+1)\)-arcs of \(PG(n,q)\) are the normal rational curves. The author characterizes the normal rational curves in \(PG(n,p)\) for \(p\) prime and \(2 \leq n \leq p-2\) as the only \((p+1 ...
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Polynomial hashing over prime order fields

Advances in Mathematics of Communications
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Sreyosi Bhattacharyya, Kaushik Nath 0001, Palash Sarkar 0001   +2 more
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Reduction of an Algebraic Function Field Modulo a Prime in the Constant Field

The Annals of Mathematics, 1958
\(K\) sei ein algebraischer Funktionenkörper mit dem Konstantenkörper \(k\) und \(h\) eine diskrete nicht-archimedische Bewertung von \(k\). Ist \(x\) eine über \(k\) transzendente Größe von \(K\), so werde \(h\) durch \[ \left[\left(\sum_{\nu=0}^r a_\nu x^\nu\right) \left(\sum_{\nu=0}^s b_\nu x^\nu\right)^{-1}\right] = (\max \{h(a_\nu)\}) (\max \{h(b_\
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