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Identities of symmetric and skew-symmetric matrices in characteristic \(p\) - MaRDI portal

Identities of symmetric and skew-symmetric matrices in characteristic \(p\) (Q1897576)

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scientific article; zbMATH DE number 792848
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Identities of symmetric and skew-symmetric matrices in characteristic \(p\)
scientific article; zbMATH DE number 792848

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    Identities of symmetric and skew-symmetric matrices in characteristic \(p\) (English)
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    4 September 1995
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    This paper is related to the Konstant-Rowen extension to skew-symmetric matrices of the Amitsur-Levitzki identity. A general method is provided, based on a graph theoretic approach, for deriving extensions of known permanental-type identities to skew-symmetric and symmetric matrices over a commutative ring of prime characteristic.
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    Konstant-Rowen extension
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    skew-symmetric matrices
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    Amitsur-Levitzki identity
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    permanental-type identities
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    commutative ring
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