Composition-Diamond Lemma for Non-associative Algebras over a Commutative Algebra

Published 1 Sep 2010 in math.RA | (1009.0196v1)

Abstract: We establish the Composition-Diamond lemma for non-associative algebras over a free commutative algebra. As an application, we prove that every countably generated non-associative algebra over an arbitrary commutative algebra $K$ can be embedded into a two-generated non-associative algebra over $K$.

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