Results 21 to 30 of about 154,479 (279)
A Clifford algebra associated to generalized Fibonacci quaternions
, 2014 In this paper we find a Clifford algebra associated to generalized Fibonacci quaternions. In this way, we provide a nice algorithm to obtain a division quaternion algebra starting from a quaternion non-division algebra and vice ...
Flaut, Cristina
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Nicely semiramified division algebras over Henselian fields
International Journal of Mathematics and Mathematical Sciences, 2005 This paper deals with the structure of nicely semiramified valued division algebras. We prove that any defectless finite-dimensional central division algebra over a Henselian field E with an inertial maximal subfield and a totally ramified maximal ...
Karim Mounirh
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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 +3 more
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An octonionic formulation of the M-theory algebra
, 2014 We give an octonionic formulation of the N = 1 supersymmetry algebra in D = 11, including all brane charges. We write this in terms of a novel outer product, which takes a pair of elements of the division algebra A and returns a real linear operator on A.
Anastasiou, A. +4 more
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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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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
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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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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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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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Codewords generated by UP-valued functions
AIMS Mathematics, 2021 The concept of a UP-valued function on a nonempty set was introduced by Ansari et al. [3]. Codewords in a binary block-code generated by a UP-valued function are established and some interesting results are obtained.
Ronnason Chinram, Aiyared Iampan
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