Modules continus
Modules Graded by G-sets.
Modules injectifs indécomposables sur les anneaux artiniens et dualité de Morita
Modules ordonnés injectifs
Modules sur un anneau de Krull régulier au sens de Marubayashi
Modules tertiaires
Modules which are invariant under idempotents of their envelopes
We study the class of modules which are invariant under idempotents of their envelopes. We say that a module M is -idempotent-invariant if there exists an -envelope u : M → X such that for any idempotent g ∈ End(X) there exists an endomorphism f : M → M such that uf = gu. The properties of this class of modules are discussed. We prove that M is -idempotent-invariant if and only if for every decomposition , we have . Moreover, some generalizations of -idempotent-invariant modules are considered....
Modules with the direct summand sum property
The present work gives some characterizations of -modules with the direct summand sum property (in short DSSP), that is of those -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 -modules (injective or projective) with this property, over several rings, are presented.
Morita-injektive Moduln über kommutativen Dedekind-Ringen.