Strongly Uniform Extending Modules | Zendy

Saad Abdulkadhim Al-Saadi | Zendy; Darya Jabar AbdulKareem | Zendy

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Strongly Uniform Extending Modules

Author(s) -

Saad Abdulkadhim Al-Saadi,

Darya Jabar AbdulKareem

Publication year - 2018

Publication title -

al-mustansiriyah journal of science

Language(s) - English

Resource type - Journals

eISSN - 2521-3520

pISSN - 1814-635X

DOI - 10.23851/mjs.v29i2.237

Subject(s) - mathematics , generalization , pure mathematics , invariant (physics) , uniform limit theorem , topology (electrical circuits) , mathematical analysis , combinatorics , mathematical physics

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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