Train algebras of rank 3 with finiteness conditions (Q1030772)
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scientific article; zbMATH DE number 5574588
| Language | Label | Description | Also known as |
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| English | Train algebras of rank 3 with finiteness conditions |
scientific article; zbMATH DE number 5574588 |
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Train algebras of rank 3 with finiteness conditions (English)
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2 July 2009
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A train algebra of rank \(r\) is a commutative baric algebra \((A,\omega)\) satisfying the so-called train equation of \(A\): \[ x^r+\gamma_1\omega(x)x^{r-1}+\cdots+\gamma_{r1}\omega(x)^{r-1}x=0. \] This paper deals with train algebras of rank 3. In particular, it is proved that any Noetherian (or Artinian or finitely generated) train algebra of rank 3 is finitely dimensional.
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Train algebra
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finitely generated algebra
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Noetherian algebra
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Artinian algebra
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finiteness conditions
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