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QTAG torsionfree modules

Ladislav Bican, Blas Torrecillas (1992)

Commentationes Mathematicae Universitatis Carolinae

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 -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...

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