Strongly Uniform Extending Modules


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



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


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.


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Author Biographies

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


darya jabar abdulkareem, Mustansiriyah university college science mathematics department



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How to Cite

S. A. Al-Saadi and darya jabar abdulkareem, “Strongly Uniform Extending Modules”, Al-Mustansiriyah Journal of Science, vol. 29, no. 2, pp. 148–154, Nov. 2018.