QUADRATIC FORMULAS FOR GENERALIZED QUATERNIONS

DOI10.1142/S0219498809003308zbMath1210.15015MaRDI QIDQ3637791

Marco Abrate

Publication date: 14 July 2009

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

polynomial equationgeneralized quaternion algebrasnon-commutative algebraquadratic formulaquaternion algebras over finite fields

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24) Equations in general fields (12E12) Finite-dimensional division rings (16K20) Skew fields, division rings (12E15)

Related Items (6)

Generalized elliptical quaternions with some applications ⋮ Standard polynomial equations over division algebras ⋮ Polynomial equations over octonion algebras ⋮ Quaternion quadratic equations in characteristic 2 ⋮ An algorithm for the factorization of split quaternion polynomials ⋮ Quadratic split quaternion polynomials: factorization and geometry

Cites Work

• Quadratic formulas for quaternions
• Equations in Quaternions
• The Roots of a Quaternion

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