Results 31 to 40 of about 4,836 (268)

Algorithms and Data Structures for Sparse Polynomial Arithmetic

Mathematics, 2019
We provide a comprehensive presentation of algorithms, data structures, and implementation techniques for high-performance sparse multivariate polynomial arithmetic over the integers and rational numbers as implemented in the freely available Basic ...
Mohammadali Asadi, Alexander Brandt, Robert H. C. Moir, Marc Moreno Maza   +3 more
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Some inequalities for maximum modules of polynomials

International Journal of Mathematics and Mathematical Sciences, 1991
A well-known result of Ankeney and Rivlin states that if p(z) is a polynomial of degree n, such that p(z)≠0 in |z|
N. K. Govil
doaj   +1 more source

On finite division algebras

Journal of Combinatorial Theory, Series A, 1987
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Witt groups of Severi-Brauer varieties and of function fields of conics [PDF]

Épijournal de Géométrie Algébrique
The Witt group of skew hermitian forms over a division algebra $D$ with symplectic involution is shown to be canonically isomorphic to the Witt group of symmetric bilinear forms over the Severi-Brauer variety of $D$ with values in a suitable line bundle.
Anne Quéguiner-Mathieu, Jean-Pierre Tignol   +1 more
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Correspondences Between Valued Division Algebras and Graded Division Algebras

Journal of Algebra, 1999
Let \(D\) be a finite-dimensional central division algebra over a field \(F\) with a Henselian valuation \(v_F\). The valuation \(v_F\) extends to a (Schilling) valuation \(v_D\) on \(D\), and there is an associated graded ring \(GD=\bigoplus_{\gamma\in\Gamma_D}GD_\gamma\), where \(\Gamma_D\) is the value group of \(v_D\) and, for \(\gamma\in\Gamma_D\),
Hwang, Y.-S, Wadsworth, A.R
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Witt group of Hermitian forms over a noncommutative discrete valuation ring

International Journal of Mathematics and Mathematical Sciences, 2005
We investigate Hermitian forms on finitely generated torsion modules over a noncommutative discrete valuation ring. We also give some results for lattices, which still are satisfied even if the base ring is not commutative. Moreover, for a noncommutative
L. Oukhtite
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Remarks Regarding Computational Aspects in Algebras Obtained by Cayley–Dickson Process and Some of Their Applications

Mathematics, 2022
Due to the computational aspects which appear in the study of algebras obtained by the Cayley–Dickson process, it is difficult to obtain nice properties for these algebras. For this reason, finding some identities in such algebras plays an important role
Cristina Flaut, Geanina Zaharia
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Hopf Maps, Lowest Landau Level, and Fuzzy Spheres

Symmetry, Integrability and Geometry: Methods and Applications, 2010
This paper is a review of monopoles, lowest Landau level, fuzzy spheres, and their mutual relations. The Hopf maps of division algebras provide a prototype relation between monopoles and fuzzy spheres.
Kazuki Hasebe
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SUBJECT «NUMBER SYSTEMS» IN TWO-LEVELED FORMAT PREPARATION TEACHERS OF MATHEMATICS

Образование и наука, 2017
The aim of this article is to analyze the format of a two-leveled training – bachelor and master – future teachers of mathematics from the point of view of the content of mathematical material, which is to develop prospective teachers of mathematics at ...
V. I. Igoshin
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Division algebras with infinite genus [PDF]

Bulletin of the London Mathematical Society, 2014
5 pages. In new version, title is changed from "A Division Algebra With Infinite Genus" to match that of published ...
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