An Efficient Method for Solving Equations in Generalized Quaternion and Octonion Algebras
نویسندگان
چکیده
منابع مشابه
Some Properties of Octonion and Quaternion Algebras
In 1988, J.R. Faulkner has given a procedure to construct an octonion algebra on a finite dimensional unitary alternative algebra of degree three over a field K. Here we use a similar procedure to get a quaternion algebra. Then we obtain some conditions for these octonion and quaternion algebras to be split or division algebras. Then we consider the implications of the found conditions to the u...
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Formulae for the levels and sublevels of certain quaternion and octonion algebras are established. Corollaries concerning the equality of levels and sublevels of quaternion algebras with those of associated octonion algebras are presented. Let R be a not necessarily associative ring with unity. The level and sublevel of R, respectively denoted by s(R) and s(R), are defined as follows: s(R) = in...
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ژورنال
عنوان ژورنال: Advances in Applied Clifford Algebras
سال: 2014
ISSN: 0188-7009,1661-4909
DOI: 10.1007/s00006-014-0493-x