The pseudorational rank of an abelian group
Copyright policy )The pseudorational rank of an abelian group
Summary: 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 \textit{A. A. Fomin} [in Trends in Mathematics, 87-100 (1999; Zbl 0947.20037)], and establish its connection with the usual rank. We find a condition for existence of a homomorphism from one quotient divisible group into another.
- Pedagogical University Mozambique
- Ryazan State University Russian Federation
quotient divisible mixed groups, Torsion-free groups, finite rank, finite-rank torsion-free Abelian groups, Mixed groups, Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups, pseudorational ranks, homomorphisms, pseudorational types
quotient divisible mixed groups, Torsion-free groups, finite rank, finite-rank torsion-free Abelian groups, Mixed groups, Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups, pseudorational ranks, homomorphisms, pseudorational types
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