Criteria for vanishing of Eulerian polynomials on \(n\times n\) matrices (Q1908196)
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scientific article; zbMATH DE number 847500
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Criteria for vanishing of Eulerian polynomials on \(n\times n\) matrices |
scientific article; zbMATH DE number 847500 |
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Criteria for vanishing of Eulerian polynomials on \(n\times n\) matrices (English)
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26 February 1996
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This paper deals with Eulerian polynomial identities for \(n\times n\) matrices. It is proved that some Eulerian polynomials are contained in the \(T\)-ideal generated by polynomials corresponding to graphs with less vertices. Besides, a complete description of all Eulerian graphs with two vertices for which the Eulerian identity is satisfied by the \(n\times n\) matrix ring over a unitary commutative ring of characteristic 0, is given.
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Eulerian polynomial
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Eulerian graphs
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Eulerian identity
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