Values for the levels and sublevels of algebras obtained by the Cayley-Dickson process

Abstract

In this paper we will prove that any number n\in N-{0} could be realised as level of an algebra obtained by the Cayley-Dickson process over a suitable field.

arXiv commentThis paper has been withdrawn by the author due to some errors. A new version will be update soon

References in corpus (2)

• Isotropy of some quadratic forms and its applications on levels and sublevels of algebras
• Levels and sublevels of division algebras obtained by the Cayley-Dickson process