Varieties of two-step solvable algebras of type (γ, δ)
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The structure of the set of all nonnilpotent subvarieties of the variety of two-step solvable algebras of type (γ, δ) is studied. An additive basis of a free metabelian (γ, δ)-algebra is constructed. It is proved that any identity in a nonnilpotent metabelian (γ, δ)-algebra of degree at least 6 is a consequence of four defining relations.
KeywordsAdditive Basis Regular Word Alternative Algebra Nonassociative Algebra Account Property
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