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Quasi-balanced torsion-free groups

H. Pat Goeters, William Ullery (1998)

Commentationes Mathematicae Universitatis Carolinae

An exact sequence $0 \to A \to B \to C \to 0$ of torsion-free abelian groups is quasi-balanced if the induced sequence $0 \to 𝐐 \otimes Hom (X, A) \to 𝐐 \otimes Hom (X, B) \to 𝐐 \otimes Hom (X, C) \to 0$ is exact for all rank-1 torsion-free abelian groups $X$ . This paper sets forth the basic theory of quasi-balanced sequences, with particular attention given to the case in which $C$ is a Butler group. The special case where $B$ is almost completely decomposable gives rise to a descending chain of classes of Butler groups. This chain is a generalization of the chain of Kravchenko classes that arise from balanced...

Displaying 1 – 7 of 7

Quasi-balanced torsion-free groups

Quasibases of $p$ -groups

Quasi-Direct Decompositions of Torsion-Free Abelian Groups of Infinite Rank.

Quasi-essential subsocles of Abelian p-groups

Quasi-isomorphism and $ℤ_{(2)}$ -representations for a class of Butler groups

Quasiprojective and quasi-injective finite valuated groups

Quotients of reflexive modules

Currently displaying 1 – 7 of 7

Displaying 1 – 7 of 7

Quasi-balanced torsion-free groups

Quasibases of p -groups

Quasi-Direct Decompositions of Torsion-Free Abelian Groups of Infinite Rank.

Quasi-essential subsocles of Abelian p-groups

Quasi-isomorphism and ℤ ( 2 ) -representations for a class of Butler groups

Quasiprojective and quasi-injective finite valuated groups

Quotients of reflexive modules

Currently displaying 1 – 7 of 7

Quasibases of $p$ -groups

Quasi-isomorphism and $ℤ_{(2)}$ -representations for a class of Butler groups