Results 51 to 60 of about 542 (165)

Quaternion Algebras with the Same Subfields [PDF]

, 2010
G. Prasad and A. Rapinchuk asked if two quaternion division F -algebras that have the same subfields are necessarily isomorphic. The answer is known to be "no" for some very large fields. We prove that the answer is "yes" if F is an extension of a global field K so that F /K is unirational and has zero unramified Brauer group.
Garibaldi, Skip, Saltman, David J.
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Counting and equidistribution for quaternion algebras [PDF]

Mathematische Zeitschrift, 2019
36 ...
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Free groups in quaternion algebras

Journal of Algebra, 2013
10 pages, article presented in conferences: Algebra School, Brasilia-Brazil, Brasilia National University (july-2010); Summer 2009 Meeting of CMS in Groups and Hopf Algebras section, St. Jonh's-Canada, Memorial University of Newfoundland (June-2009); Groups, Rings and Group Rings, Ubatuba-Brazil (july-2008)
Juriaans, S.O., Souza Filho, A.C.
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Quaternion constituents of group algebras [PDF]

Proceedings of the American Mathematical Society, 1971
In this paper it is shown that each quaternion division algebra central over the rationals appears as a division ring constituent of some rational group algebra.
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Orders in quaternion algebras

, 1989
The authors define and study the arithmetic of special orders in quaternion division algebras over number fields. Special orders are analogous to orders of the form \(\left( \begin{matrix} Z\\ NZ\end{matrix} \begin{matrix} Z\\ Z\end{matrix} \right)\) in \(Mat(2,{\mathbb{Q}}_ p)\) and include maximal and Eichler orders as special cases.
Hijikata, H., Pizer, A., Shemanske, T.
openaire   +1 more source

Multi-body kinematics and dynamics in terms of quaternions: Langrange formulation in covariant form: Rodriguez approach [PDF]

FME Transactions, 2010
This paper suggests a quaternion approach for the modeling kinematics and dynamics of rigid multi-body systems. Instead of the regular 'Newton-Euler' and Lagrange method used in the traditional way, Lagrange's equations of second kind in the covariant ...
Zorić Nemanja D., Lazarević Mihailo P., Simonović Aleksandar M.   +2 more
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Research on splitting quaternions with generalized Tribonacci hybrid number components [PDF]

Notes on Number Theory and Discrete Mathematics
This paper introduces the Generalized Tribonacci Hybrid Split Quaternion (GTHSQ), a novel split quaternion with coefficients derived from generalized Tribonacci hybrid numbers.
Yanni Yang, Yong Deng
doaj   +1 more source

On free ring extensions of degree n

International Journal of Mathematics and Mathematical Sciences, 1981
Nagahara and Kishimoto [1] studied free ring extensions B(x) of degree n for some integer n over a ring B with 1, where xn=b, cx=xρ(c) for all c and some b in B(ρ=automophism of  B), and {1,x…,xn−1} is a basis.
George Szeto
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Linked triples of quaternion algebras [PDF]

Pacific Journal of Mathematics, 2014
Let \(F\) be a field of characteristic not \(2\). A collection \(Q_1,\ldots,Q_n\) (\(n\geq 2\)) of quaternion algebras over \(F\) is said to have a common slot if there exist \(a,b_i\in F^*\) with \(Q_i\cong (a,b_i)\), \(1\leq i\leq n\). This collection is said to be linked if any pair \(Q_i,Q_j\) has a common slot. \textit{E. Peyre} [Proc. Symp.
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Stochastic stability of fractional-order quaternion-valued neural networks on time scales with general probabilistic bounded Markovian switching and neutral delays

Nonlinear Analysis
This paper investigates the stochastic stability problem of fractional-order quaternion-valued neural networks (FOQVNNs) on time scales with general probabilistic bounded Markovian switching and neutral delays.
Cheng Huang, Qiankun Song
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