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Trivial ideals of a free alternative algebra. (English. Russian original) Zbl 0542.17010
Algebra Logic 22, 130-142 (1983); translation from Algebra Logika 22, No. 2, 182-197 (1983).
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.
Reviewer: B.Gleichgewicht

17D05 Alternative rings
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