On Weakly Second Submodules

Saadi, Zainab; Ahmed, Ghaleb

doi:10.24996/ijs.2019.60.8.16

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Weakly Secondary Submodules1

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2019

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“…2 ⊈ . We would like to refer that weakly second submodules is studied in more detail by authors see [16]. (4) The secondary submodules and weakly second submodules concepts do not imply from each one to another [27].…”

Section: Weakly Secondary Submodulesmentioning

confidence: 99%

Weakly Secondary Submodules

Ahmed¹,

Saadi²

2019

J. Al-Qadisiyah Comp. Sci. Math.

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Let be a non-zero right module over a ring with an identity. The weakly secondary submodule is introduced in this paper. A non-zero submodule of is weakly secondary submodule when , where , and is a submodule of implies either or for some positive integer . Some relationships between this class of modules and other related modules are discussed and number of conclusions and characterizations are obtained.

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Section: Weakly Secondary Submodulesmentioning

confidence: 99%