An application of non-associative Composition-Diamond lemma

Mathematics – Rings and Algebras

Scientific paper

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Scientific paper

In this paper, by using Groebner--Shirshov bases for non-associative algebras
invented by A. I. Shirshov in 1962, we show I. P. Shestakov's result that any
Akivis algebra can be embedded into its universal enveloping algebra.

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