QTAG torsionfree modules
Bican, Ladislav ; Torrecillas, Blas
Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992), p. 1-20 / Harvested from 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.

Publié le : 1992-01-01
Classification:  16D70,  16D80,  16S90 
@article{118464,
     author = {Ladislav Bican and Blas Torrecillas},
     title = {QTAG torsionfree modules},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {33},
     year = {1992},
     pages = {1-20},
     zbl = {0765.16009},
     mrnumber = {1173740},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118464}
}

Bican, Ladislav; Torrecillas, Blas. QTAG torsionfree modules. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) pp. 1-20. http://gdmltest.u-ga.fr/item/118464/

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