Results 31 to 40 of about 158,268 (326)
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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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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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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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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Divisibility in Douglas algebras.
Michigan Mathematical Journal, 1984 If \(L^{\infty}\), \(H^{\infty}\) denote the usual Banach algebras on the unit circle, then a closed subalgebra B, \(H^{\infty}\subset B\subset L^{\infty}\), is called a Douglas algebra. The authors are concerned here with the divisibility problem in B. Their main result is: If \(h\in B\) and \(u\in L^{\infty}\), \(\| u\|
Axler, Sheldon, Gorkin, Pamela
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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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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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About division quaternion algebras and division symbol algebras [PDF]
Carpathian Journal of Mathematics, 2016 In this paper, we find a class of division quaternion algebras over the field Q (i) and a class of division symbol algebras over a cyclotomic field.
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Demonstration of an All‐Optical AND Gate Mediated by Photochromic Molecules
Advanced Functional Materials, EarlyView.A logic AND gate that runs on photons is demonstrated. It relies on two spatially separated photochromic molecules that work in tandem. Abstract The realization of a photonic logic AND gate, i.e. a logic AND gate that runs on photons rather than electrons, and where all steps are controlled by light, is demonstrated. In a proof‐of‐principle experiment,
Heyou Zhang +7 more
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The Neutrosophic Quaternions Numbers [PDF]
Neutrosophic Sets and SystemsThis article aims to study the neutrosophic quaternion numbers, where we defined the neutrosophic quaternions numbers and the two equal neutrosophic quaternions numbers, also, the neutrosophic quaternions numbers algebra were introduced by studying ...
Yaser Ahmad Alhasan +2 more
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