Trivial ideals of a free alternative algebra (Q795156)

Let \(\Phi\) be an associative commutative ring with identity and containing 1/6. In a free alternative \(\Phi\)-algebra A with \(k\geq 6\) free generators the author constructs a trivial ideal, which is contained in the associative center of A. The author also constructs a completely characteristic trivial ideal in the free alternative \(\Phi\)-algebra with \(k\geq 5\) free generators.