Some graded identities of the Cayley–Dickson algebra
2018 ◽
Vol 28
(05)
◽
pp. 697-718
We work to find a basis of graded identities for the octonion algebra. We do so for the [Formula: see text] and [Formula: see text] gradings, both of them derived of the Cayley–Dickson (C–D) process, the later grading being possible only when the characteristic of the scalars is not two.