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Distributive elementary divisor domains

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Abstract

It is proved that an elementary divisor domain in which any maximal right ideal is a two-sided ideal is a duo domain.

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Literature cited

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 7, pp. 1000–1004, July, 1990.

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Zabavskii, B.V., Komarnitskii, N.Y. Distributive elementary divisor domains. Ukr Math J 42, 890–892 (1990). https://doi.org/10.1007/BF01062100

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