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On the tensor product of quaternion algebras of characteristic two

Published online by Cambridge University Press:  18 May 2009

P. Mammone
P. Mammone
Affiliation:
Université de Mons-Hainaut, B-7000 Mons
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The purpose of this note is to generalize to fields of characteristic two the results obtained in [4]. We obtain necessary and sufficient conditions involving quadratic forms for certain tensor products of quaternion algebras to be division algebras.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 30 , Issue 1 , January 1988 , pp. 111 - 113
Copyright
Copyright © Glasgow Mathematical Journal Trust 1988

References

1.Baeza, R., Quadratic forms over semilocal rings, Lecture Notes in Mathematics. 655 (Springer, 1978).CrossRefGoogle Scholar
2.Lam, T. Y., The algebraic theory of quadratic forms, (Benjamin, 1973).Google Scholar
3.Lewis, D. W., A note on Clifford algebras and central division algebras with involution, Glasgow Math. J. 26 (1985), 171–176.CrossRefGoogle Scholar
4.Mammone, P. and Tignol, J. P., Clifford division algebras and anisotropic quadratic forms: two counterexamples, Glasgow Math. J. 28 (1986), 227–228.CrossRefGoogle Scholar