Geodesic
Purely transcendental extensions of the field of rational numbers as base fields of csp-rings
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 5 (2013), pp. 30-39

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We obtain conditions under which a purely transcendental extension of the field of rational numbers is a base field of some csp-ring. In the paper, we use properties of cardinal characteristics of the continuum.
Keywords: csp-ring, base field, cardinal characteristics of the continuum. 
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     title = {Purely transcendental extensions of the field of rational numbers as base fields of csp-rings},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {30--39},
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E. A. Timoshenko. Purely transcendental extensions of the field of rational numbers as base fields of csp-rings. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 5 (2013), pp. 30-39. http://geodesic.mathdoc.fr/item/VTGU_2013_5_a3/