This article is cited in 12 papers

Separable enumerations of division rings and effective embeddability of rings therein

N. Kh. Kasymov, F. N. Ibragimov

Mirzo Ulugbek National University of Uzbekistan, Tashkent, Uzbekistan

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.

Keywords: enumerated algebras and morphisms, topological enumerated algebra, separable enumerations of division rings, locally positive and negatives groups, effective embeddability of rings into fields.

UDC: 510.5

MSC: 35R30

Received: 24.02.2018
Revised: 22.03.2018
Accepted: 24.05.2018

DOI: 10.33048/smzh.2019.60.107

 English version: Siberian Mathematical Journal, 2019, 60:1, 62–70

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