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Title: Forms and Baer ordered *-fields
Authors: Leung, K.H. 
Issue Date: 2000
Citation: Leung, K.H. (2000). Forms and Baer ordered *-fields. Israel Journal of Mathematics 116 : 1-19. ScholarBank@NUS Repository.
Abstract: It is well known that for a quaternion algebra, the anisotropy of its norm form determines if the quaternion algebra is a division algebra. In case of biquaternion algebra, the anisotropy of the associated Albert form (as defined in [LLT]) determines if the biquaternion algebra is a division ring. In these situations, the norm forms and the Albert forms are quadratic forms over the center of the quaternion algebras; and they are strongly related to the algebraic structure of the algebras. As it turns out, there is a natural way to associate a tensor product of quaternion algebras with a form such that when the involution is orthogonal, the algebra is a Baer ordered *-field iff the associated form is anisotropic.
Source Title: Israel Journal of Mathematics
ISSN: 00212172
Appears in Collections:Staff Publications

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