Author/Authors :
Tabarak, Manar E Department of Mathematics - Faculty of Sciences - Ain Shams University, Egyp , El Din S. Hussien, Salah Department of Mathematics - Faculty of Sciences - Ain Shams University, Egyp , Kamal, M. A Department of Mathematics - Faculty of Education - Ain Shams University Roxy, Egypt , Elbaroudy, M. H. Department of Mathematics - Faculty of Education - Ain Shams University Roxy, Egypt
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.
