Geodesic
QTAG torsionfree modules
Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 1, pp. 1-20 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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The structure theory of abelian $p$-groups does not depend on the properties of the ring of integers, in general. The substantial portion of this theory is based on the fact that a finitely generated $p$-group is a direct sum of cyclics. Given a hereditary torsion theory on the category $R$-{\bf Mod} of unitary left $R$-modules we can investigate torsionfree modules having the corresponding property for all torsionfree factor-modules (and a natural requirement concerning extensions of some homomorphisms). This paper continues in our previous investigations of the structural properties of such modules.
The structure theory of abelian $p$-groups does not depend on the properties of the ring of integers, in general. The substantial portion of this theory is based on the fact that a finitely generated $p$-group is a direct sum of cyclics. Given a hereditary torsion theory on the category $R$-{\bf Mod} of unitary left $R$-modules we can investigate torsionfree modules having the corresponding property for all torsionfree factor-modules (and a natural requirement concerning extensions of some homomorphisms). This paper continues in our previous investigations of the structural properties of such modules.
Classification : 16D70, 16D80, 16S90
Keywords: torsion theory; torsionfree module; $\sigma$-QTAG-module; kernel of purity; center of purity 
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Bican, Ladislav; Torrecillas, Blas. QTAG torsionfree modules. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 1, pp. 1-20. http://geodesic.mathdoc.fr/item/CMUC_1992_33_1_a0/

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