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Nearly Primary-2-Absorbing Submodules and other Related Concepts
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Our aim in this paper is to introduce the notation of nearly primary-2-absorbing submodule as generalization of 2-absorbing submodule where a proper submodule of an -module is called nearly primary-2-absorbing submodule if whenever , for , , , implies that either or or . We got many basic, properties, examples and characterizations of this concept. Furthermore, characterizations of nearly primary-2-absorbing submodules in some classes of modules were inserted. Moreover, the behavior of nearly primary-2-absorbing submodule under -epimorphism was studied.
College of Education for Pure Sciences Ibn Al-Haitham
Title: Nearly Primary-2-Absorbing Submodules and other Related Concepts
Description:
Our aim in this paper is to introduce the notation of nearly primary-2-absorbing submodule as generalization of 2-absorbing submodule where a proper submodule of an -module is called nearly primary-2-absorbing submodule if whenever , for , , , implies that either or or .
We got many basic, properties, examples and characterizations of this concept.
Furthermore, characterizations of nearly primary-2-absorbing submodules in some classes of modules were inserted.
Moreover, the behavior of nearly primary-2-absorbing submodule under -epimorphism was studied.
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