It is known that a simple Bézout domain is the domain of elementary divisors if and only if it is 2-simple. The block-diagonal reduction of matrices over an n -simple Bézout domain (n ≥ 3) is realized.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, No. 2, pp. 275–280, February, 2010.
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Domsha, O., Zabavs’kyi, B. Block-diagonal reduction of matrices over an n-simple Bézout domain (n ≥ 3). Ukr Math J 62, 314–319 (2010). https://doi.org/10.1007/s11253-010-0354-2
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DOI: https://doi.org/10.1007/s11253-010-0354-2