Displaying similar documents to “Weak Krull-Schmidt for Infinite Direct Sums of Cyclically Presented Modules over Local Rings”

Modules with the direct summand sum property

Dumitru Vălcan (2003)

Czechoslovak Mathematical Journal

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The present work gives some characterizations of R -modules with the direct summand sum property (in short DSSP), that is of those R -modules for which the sum of any two direct summands, so the submodule generated by their union, is a direct summand, too. General results and results concerning certain classes of R -modules (injective or projective) with this property, over several rings, are presented.

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.

Some remarks on Prüfer modules

S. Ebrahimi Atani, S. Dolati Pishhesari, M. Khoramdel (2013)

Discussiones Mathematicae - General Algebra and Applications

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We provide several characterizations and investigate properties of Prüfer modules. In fact, we study the connections of such modules with their endomorphism rings. We also prove that for any Prüfer module M, the forcing linearity number of M, fln(M), belongs to {0,1}.