Mittag-Leffler modules, reduced products, and direct products
Alberto Facchini (1991)
Rendiconti del Seminario Matematico della Università di Padova
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Displaying similar documents to “Modules with the direct summand sum property”
Mittag-Leffler modules, reduced products, and direct products
Comultiplication modules over a pullback of Dedekind domains
Reza Ebrahimi Atani, Shahabaddin Ebrahimi Atani (2009)
Czechoslovak Mathematical Journal
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First, we give complete description of the comultiplication modules over a Dedekind domain. Second, if is the pullback of two local Dedekind domains, then we classify all indecomposable comultiplication -modules and establish a connection between the comultiplication modules and the pure-injective modules over such domains.
On large selforthogonal modules
Gabriella D'Este (2006)
Commentationes Mathematicae Universitatis Carolinae
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We construct non faithful direct summands of tilting (resp. cotilting) modules large enough to inherit a functorial tilting (resp. cotilting) behaviour.
Classes of modules related to Serre subcategories.
Crivei, Septimiu, Crivei, Iuliu (2001)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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A remark on decomposable modules.
R.Yue Chi Ming (1979)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Representable equivalences are represented by tilting modules
Gabriella D'Este, Dieter Happel (1990)
Rendiconti del Seminario Matematico della Università di Padova
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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...