Abstract
We are interested in finding identities that an algebra satisfies if it has a faithful f-representation. We introduce the notions of g-associative and g-Lie algebras and we prove that any alternative (Malcev) algebra can be embedded into some g-associative (g-Lie) algebra. We show that any Malcev algebra can be embedded as commutator subalgebra in some g-associative for two different polynomials g(x,y).
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