On minimal varieties of quadratic growth (Q855586)
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scientific article; zbMATH DE number 5078024
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On minimal varieties of quadratic growth |
scientific article; zbMATH DE number 5078024 |
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On minimal varieties of quadratic growth (English)
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7 December 2006
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The authors study polynomial identities of an important subalgebra of the PI-algebra \(UT_3\) of the \(3\times 3\) upper triangular matrices in characteristic zero. It is shown that the five algebras which were used by \textit{A. Giambruno} and \textit{D. La Mattina} [J. Algebra 284, 371--391 (2005; Zbl 1071.16021)] to classify (up to PI-equivalence) the algebras whose sequence of codimensions is bounded by a linear function, generate the only five minimal varieties of quadratic growth.
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multilinear identities
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\(T\)-ideal
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codimension
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cocharacter
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