Isotropy of some quadratic forms and its applications on levels and sublevels of algebras

Mathematics – Rings and Algebras

Scientific paper

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Published in JMS:AA, December 2011. repairs arXiv:1101.5237

Scientific paper

In this paper, we give some properties of the levels and sublevels of
algebras obtained by the Cayley-Dickson process. We will emphasize how isotropy
of some quadratic forms can influence the levels and sublevels of algebras
obtained by the Cayley-Dickson process.

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