Split octonion algebra and its zero divisors

S. Halici, A. Karataş

Motivated by Miguel and Serodio's work [13] on the structure of quaternion rings over finite field, we studied some special elements of split octonion algebra over finite field, more precisely nilpotent and idempotent elements of split octonion algebra. For these special elements we gave some theorems and conditions which they should satisfy. Moreover, in this algebra we investigated the involutory elements and their properties. 

Tbilisi Mathematical Journal, Special Issue (IECMSA-2019), pp. 79-86