Abstract: | Special monocomposition algebras introduced in 1] are studied. Using their properties, we prove that any nondegenerate monocomposition
algebra
,dim
≥ 3, with unity contains no proper ideal of dimension ≤8. This implies that if 3≤dim
≤ 9, then
is a central simple algebra.
Translated fromAlgebra i Logika, Vol. 35, No. 2, pp. 125–144, March–April, 1996. |