Results 41 to 50 of about 122,808 (179)
, 2021 The aim of this work is to study the Hamiltonian quaternions H and quaternion alge- bras. The first two chapters are based on the article Quaternion algebras by K. Conrad and the rest on the book Quaternion algebras by J. Voight.
Mišlanová, Kristína
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Tensor products of quaternion algebras
, 1972 Two quaternion division algebras have a common quadratic subfield if their tensor product contains zero-divisors.
A. A. Albert
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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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On Identities of a Ternary Quaternion Algebra [PDF]
Communications in Algebra, 2011 This article studies a simple 4-dimensional ternary algebra 𝒜 which appears analogously to the quaternions from the Lie algebra 𝔰𝔩(2). We describe the heights 1 and 2 identities, and the derivations of 𝒜. Based on 𝒜, some ternary enveloping algebras for ternary Filippov algebras are constructed.
Beites, P. D. +3 more
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Quaternion Algebras over Curves of Genus One Without Rational Points
, 2005 Quaternion algebras over curves of genus one without rational points over perfect fields of characteristic not two are classified. As a consequence, all quaternion algebras over the function field of such a curve, which are unramified everywhere, are ...
Pumplün, Susanne
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LEVELS AND SUBLEVELS OF QUATERNION ALGEBRAS [PDF]
Mathematical Proceedings of the Royal Irish Academy, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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How To Create The Quaternion & Octonion Algebras [PDF]
, 2013 We show how to create the quaternion and octonion algebras with the DifferentialGeometry software.
Apedaile, Thomas J, Anderson, Ian M
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Quaternion Algebras and Quadratic Forms [PDF]
, 2008 The main goal of this Masters' thesis is to explore isomorphism types of quaternion algebras using the theory of quadratic forms, number theory and algebra.
Zi Yang, Sham
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Images of Multilinear Polynomials on Generalized Quaternion Algebras [PDF]
, 2023 The main goal of this paper is to extend [J. Algebra Appl. 20 (2021), 2150074] to generalized quaternion algebras, even when these algebras are not necessarily division rings. More precisely, in such cases, the image of a multilinear polynomial evaluated
Danchev, Peter Vassilev +2 more
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Free Subgroups of Quaternion Algebras [PDF]
Proceedings of the American Mathematical Society, 1993 Using the theory of group actions on trees, we shall prove that if a quaternion algebra over Laurant polynomials is not split then a certain congruence subgroup of the group of norm one elements is a free group. This generalizes and gives an easy, conceptually simpler proof than that given by Pollen for the field of real numbers.
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