A weaker form of Baer’s splitting problem for torsion theories
Mark L. Teply, Blas Torrecillas (1993)
Czechoslovak Mathematical Journal
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Displaying similar documents to “A simple proof of uniqueness for torsion modules over principal ideal domains.”
A weaker form of Baer’s splitting problem for torsion theories
Torsion of the Witt group
M. Karoubi (1976)
Mémoires de la Société Mathématique de France
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Cotorsion modules for torsion theories
Henderson, J., Orzech, M. (1977)
Portugaliae mathematica
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Arbitrarily large indecomposable divisible torsion modules over certain valuation domains
L. Fuchs (1986)
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Elisabetta Monari Martinez (1991)
Rendiconti del Seminario Matematico della Università di Padova
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Rank-two torsion-free modules over valuation domains
Luigi Salce, Paolo Zanardo (1988)
Rendiconti del Seminario Matematico della Università di Padova
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Classes of modules related to Serre subcategories.
Crivei, Septimiu, Crivei, Iuliu (2001)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Weak Krull-Schmidt theorem
Ladislav Bican (1998)
Commentationes Mathematicae Universitatis Carolinae
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Recently, A. Facchini [3] showed that the classical Krull-Schmidt theorem fails for serial modules of finite Goldie dimension and he proved a weak version of this theorem within this class. In this remark we shall build this theory axiomatically and then we apply the results obtained to a class of some modules that are torsionfree with respect to a given hereditary torsion theory. As a special case we obtain that the weak Krull-Schmidt theorem holds for the class of modules that are...