Results 1 to 10 of about 2,628,539 (110)
Definite orders with locally free cancellation
Transactions of the London Mathematical Society, 2019 We enumerate all orders in definite quaternion algebras over number fields with the Hermite property; this includes all orders with the cancellation property for locally free modules.
Daniel Smertnig, John Voight
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Bounds for the zeros of unilateral octonionic polynomials [PDF]
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 In the present work it is proved that the zeros of a unilateral octonionic polynomial belong to the conjugacy classes of the latent roots of an appropriate lambda-matrix.
Serôdio Rogério +2 more
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On Spatial Quaternionic b-lift Curves
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 This study is based on the discovered relationships between the quaternionic slant helix and the quaternionic general helix. In this direction, we first examined quaternions, spatial quaternionic curves and b-lift curves.
Altınkaya Anıl, Çalışkan Mustafa
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On the dual quaternion geometry of screw motions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In this study, the screw motions are studied using dual quaternions with the help of di erent perspectives. Firstly, orthogonality definition of dual quaternions is given and geometric interpretation of orthogonality condition is made.
Erişir Tülay +3 more
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CHARACTERIZATIONS OF SOME SPECIAL QUATERNIONIC CURVES [PDF]
, 2022 We derive a general differential equation satisfed by the distance function for quaternionic curves in Euclidean 4-space. By using this differential equation, we express characterizations of some special quaternionic curves such as spherical curves and ...
Tulum, Ercan, Yucesan, Ahmet
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New Curiosity Bivariate Quadratic Quaternionic Polynomials and Their Roots
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 We consider the second-order linear homogeneous quaternion recurrence solutions for some new curiosity bivariate quadratic quaternionic equations.
Akkus Ilker, Kizilaslan Gonca
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A note on dual third-order Jacobsthal vectors [PDF]
, 2020 Third-order Jacobsthal quaternions are first defined by [5]. In this study, dual third-order Jacobsthal and dual third-order Jacobsthal–Lucas numbers are defined. Furthermore, we work on these dual numbers and we obtain the properties e.g.
Cerda-Morales, Gamaliel
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Quaternion quadratic equations in characteristic 2 [PDF]
, 2014 In this paper we present a solution for any standard quaternion quadratic equation, i.e. an equation of the form $z^2+\mu z+\nu=0$ where $\mu$ and $\nu$ belong to some quaternion division algebra $Q$ over some field $F$, assuming the characteristic of $F$
Chapman, Adam
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Effective conditional bounds on singular S-units [PDF]
, 2021 We provide a proof that, for every prime $\ell \geq 5$, if $S_0$ is the set of all primes congruent to $1$ modulo $3$ and $S_\ell=S_0 \cup \{\ell \}$, then under certain assumptions on the $L$-functions attached to imaginary quadratic fields, the set of ...
Campagna, Francesco
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Abelian subgroup structure of square complex groups and arithmetic of quaternions [PDF]
, 2005 A square complex is a 2-complex formed by gluing squares together. This article is concerned with the fundamental group $\Gamma$ of certain square complexes of nonpositive curvature, related to quaternion algebras.
Rattaggi, Diego, Robertson, Guyan
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