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- W2340805440 abstract "Abstract Let R be a ring with unit and let N be a left R -module. Then N is said linearly independent to R (or N is R -linearly independent) if there is monomorphisma By the definition of R -linearly independent, we may be able to generalize linearly independent relative to the R -module M . Module N is said M -linearly independent if there is monomorphisma . The module Q is said M -sublinearly independent if Q is a factor module of modules which is M -linearly independent. The set of modules M -sublinearly independent denoted by Can be shown easily that is a subcategory of the category R -Mod. Also it can be shown that the submodules, factor modules and external direct sum of modules in is also in the . The module Q is called P -injective if for any morphisma Q defined on L submodules of P can be extended to morphisma Q with , where is the natural inclusion mapping. The module Q is called -injective if Q is P -injective, for all modules P in . In this paper, we studiet the properties and characterization of -injective. Trait among others that the direct summand of a module that is -injective also -injective. A module is -injective if and only if the direct product of these modules also are -injective. Key words : Q ()-projective, P ()-injective." @default.
- W2340805440 created "2016-06-24" @default.
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- W2340805440 date "2011-12-19" @default.
- W2340805440 modified "2023-10-02" @default.
- W2340805440 title "MODUL τ[M]-INJEKTIVE" @default.
- W2340805440 doi "https://doi.org/10.20961/jmme.v1i2.9934" @default.
- W2340805440 hasPublicationYear "2011" @default.
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