The pseudorational rank of an abelian group

Author: Tsarev A.  

Publisher: Springer Publishing Company

ISSN: 0037-4466

Source: Siberian Mathematical Journal, Vol.46, Iss.1, 2005-01, pp. : 172-181

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Abstract

We study finite-rank torsion-free abelian groups and quotient divisible mixed groups. We consider the pseudorational rank, a new invariant for finite-rank torsion-free groups which was introduced by A. A. Fomin, and establish its connection with the usual rank. We find a condition for existence of a homomorphism from one quotient divisible group into the other.