This article is cited in 1 paper

MATHEMATICS

Purely transcendental extensions of the field of rational numbers as base fields of csp-rings

E. A. Timoshenko

Tomsk State University

Abstract: 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.

UDC: 512.62+510.22

Received: 08.06.2013