Results 231 to 240 of about 145,218 (264)

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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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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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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