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Separable Enumerations of Division Rings and Effective Embeddability of Rings Therein

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Abstract

We prove the negativity of separable enumerations of division rings and establish that the effective embeddability of a commutative integral domain in a separably enumerated field is equivalent to its negativity.

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Correspondence to N. Kh. Kasymov or F. N. Ibragimov.

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The authors were supported by the fund “Heritage of Academician T. N. Kary-Niyazov.”

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Translated from Sibirskii Matematicheskii Zhurnal, vol. 60, no. 1, pp. 82–94, January–February, 2019; DOI: 10.17377/smzh.2019.60.107.

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Kasymov, N.K., Ibragimov, F.N. Separable Enumerations of Division Rings and Effective Embeddability of Rings Therein. Sib Math J 60, 62–70 (2019). https://doi.org/10.1134/S0037446619010075

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  • DOI: https://doi.org/10.1134/S0037446619010075

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