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Identities and linear dependence

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Abstract

Central polynomial identities are used to construct alternating central identities by which new identities are obtained. These identities express the linear dependence ofn 2+1 generic matrices, and so yield slight generalizations and simplified proofs of a result of Formanek, the theorem about Azumaya algebras of M. Artin and a recent result of Cauchon.

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Authors and Affiliations

  1. Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem, Israel

    S. A. Amitsur

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  1. S. A. Amitsur
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Amitsur, S.A. Identities and linear dependence. Israel J. Math. 22, 127–137 (1975). https://doi.org/10.1007/BF02760161

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  • DOI: https://doi.org/10.1007/BF02760161

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