ON S-EXTENDING MODULES

Year 2020, Volume: 27 Issue: 27, 102 - 113, 07.01.2020

Manar E. Tabarak M. A. Kamal M. H. Elbaroudy Salah El Din S. Hussien

https://doi.org/10.24330/ieja.662972

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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