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On the Representation of Finite Rings by Matrices over Commutative Rings

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Abstract

In this paper, it is shown that all finite associative rings satisfying the identities nx = 0 and x 3 f(x) + x 2 = 0, where n is an odd natural number and f(x) ∈ ℤ[x], are embeddable in the ring of matrices over some suitable commutative ring.

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Authors and Affiliations

  1. Institute of Mathematics, National University of Mongolia, Ulaanbaatar, Mongolia

    A. Mekei

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  1. A. Mekei
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Correspondence to A. Mekei.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 17, No. 7, pp. 151–163, 2011/12.

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Mekei, A. On the Representation of Finite Rings by Matrices over Commutative Rings. J Math Sci 197, 548–557 (2014). https://doi.org/10.1007/s10958-014-1733-2

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  • DOI: https://doi.org/10.1007/s10958-014-1733-2

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