On the tensor product of quaternion algebras of characteristic two
Glasgow mathematical journal, Tome 30 (1988) no. 1, pp. 111-113

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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.
Mammone, P. On the tensor product of quaternion algebras of characteristic two. Glasgow mathematical journal, Tome 30 (1988) no. 1, pp. 111-113. doi: 10.1017/S0017089500007084
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[1] 1.Baeza, R., Quadratic forms over semilocal rings, Lecture Notes in Mathematics. 655 (Springer, 1978). Google Scholar | DOI

[2] 2.Lam, T. Y., The algebraic theory of quadratic forms, (Benjamin, 1973). Google Scholar

[3] 3.Lewis, D. W., A note on Clifford algebras and central division algebras with involution, Glasgow Math. J. 26 (1985), 171–176. Google Scholar | DOI

[4] 4.Mammone, P. and Tignol, J. P., Clifford division algebras and anisotropic quadratic forms: two counterexamples, Glasgow Math. J. 28 (1986), 227–228. Google Scholar | DOI

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