Varieties of solvable index-two algebras of type \((1,1)\). (Q556535)
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scientific article; zbMATH DE number 2177646
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Varieties of solvable index-two algebras of type \((1,1)\). |
scientific article; zbMATH DE number 2177646 |
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Varieties of solvable index-two algebras of type \((1,1)\). (English)
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21 June 2005
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The author constructs an additive basis of a free metabelian \((1,1)\)-algebra. It is proved that every identity of degree \(\geq 6\) of a non-nilpotent metabelian \((1,1)\)-algebra is a consequence of four defining relations.
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non-nilpotent variety of metabelian \((1,1)\)-algebras
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free metabelian \((1,1)\)-algebra
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polynomial identity
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0.8831564
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0.8786395
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