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Bézout Rings with Finite Krull Dimension

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Abstract

It is proven that if R is a commutative Bézout ring of Krull dimension 1, with stable range 2, then R is an elementary divisor ring.

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Authors and Affiliations

  1. Ivan Franko National University of Lviv, 1 Universytetska str., Lviv, 79000, Ukraine

    A. Gatalevych

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  1. A. Gatalevych
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Correspondence to A. Gatalevych.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 19, No. 6, pp. 3–5, 2014.

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Gatalevych, A. Bézout Rings with Finite Krull Dimension. J Math Sci 221, 313–314 (2017). https://doi.org/10.1007/s10958-017-3228-4

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  • DOI: https://doi.org/10.1007/s10958-017-3228-4

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