Strongly Uniform Extending Modules

Saad Abdulkadhim Al-Saadi; darya jabar abdulkareem

doi:10.23851/mjs.v29i2.237

Authors

Saad Abdulkadhim Al-Saadi Mustansiriyah university college science mathematics department
darya jabar abdulkareem Mustansiriyah university college science mathematics department

DOI:

https://doi.org/10.23851/mjs.v29i2.237

Keywords:

strongly uniform extending, strongly uniform continuous, strongly uniform quasi-continuous

Abstract

In this paper, we introduced and studied the concept of strongly uniform extending modules, An R-module M is called strongly uniform extending (or M has (1-SC1) condition) if every uniform submodule of M is essential in a stable (fully invariant) direct summand of M. As a proper stronger than uniform extending modules and as a generalization of strongly extending modules and give some properties of such modules in analogy with properties for strongly extending modules. We have the following implications: Strongly extending modules ⇒ Strongly uniform extending modules ⇒ Uniform extending modules.

Author Biographies

Saad Abdulkadhim Al-Saadi, Mustansiriyah university college science mathematics department

mathematics

darya jabar abdulkareem, Mustansiriyah university college science mathematics department

Mathematics

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