Abstract
Composition series for modules with respect to a Gabriel topology (or equivalently, with respect to a hereditary torsion theory) were introduced by Goldman [1] in 1975, but only for torsion-free modules, and have been further studied, among others, by Beachy, Golan,etc.
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Albu, T. (1984). On Composition Series of a Module with Respect to a Set of Gabriel Topologies. In: Göbel, R., Metelli, C., Orsatti, A., Salce, L. (eds) Abelian Groups and Modules. International Centre for Mechanical Sciences, vol 287. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2814-5_33
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DOI: https://doi.org/10.1007/978-3-7091-2814-5_33
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