ON S-EXTENDING MODULES

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International Electronic Journal of Algebra
Volume:27 Issue:27
ON S-EXTENDING MODULES

ON S-EXTENDING MODULES

Authors : Manar E TABARAK, M A KAMAL, M H ELBAROUDY, Salah El Din S HUSSİEN

Pages : 102-113

Doi:10.24330/ieja.662972

View : 11 | Download : 10

Publication Date : 2020-01-07

Article Type : Research Paper

Abstract :Here we introduce and study the concept of relative superfluous injectivity, which is a generalization of relative injectivity. We show some of the properties that hold true for relative injectivity still hold for relative superfluous injectivity. We also introduce and characterize the new concept of superfluous extending modules. Finally, we make use of relative superfluous injectivity to study direct sums of superfluous extending modules.
Keywords : superfluous injective module, large submodule, superfluous extending module

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