descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1995 English Publisher:Springer Science and Business Media LLCJournal:Rendiconti del Circolo Matematico di Palermo, volume 44, pages 94-106 (issn: 0009-725X, eissn: 1973-4409,

Authors: Révész, Gábor; Szigeti, Jenő;

doi: 10.1007/bf02849806

Identities of symmetric and skew-symmetric matrices in characteristicp

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Abstract

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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Keywords

commutative ring, QA Mathematics / matematika, Matrix equations and identities, permanental-type identities, Hermitian, skew-Hermitian, and related matrices, Determinants, permanents, traces, other special matrix functions, skew-symmetric matrices, Amitsur-Levitzki identity, Konstant-Rowen extension

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