Nilpotent elements and nil-radicals of alternative algebras
The author proves that in a relatively free alternative algebra, over a field of characteristic zero, the nil-radical is equal to the sum of the nilpotent ideals. He also shows that exceptional prime alternative algebras do exist, and from this deduces that there are elements of finite order in a free alternative ring.
scientific article; zbMATH DE number 3973115
scientific article