On F-Supplemented Modules

Talebi, Yahya; Talaee, Behnam

doi:10.51286/albjm/1309460132

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2021

2024

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Cited by 3 publications

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“…𝐻 ↪ 𝑀 ∈ Mod-ℛ is named to be a generalized (supplement) 𝛿-supplement of 𝑇, respectively, if 𝑇 + 𝐻 = 𝑀 and (𝑇 ∩ 𝐻 ↪ 𝑅𝑎𝑑(𝐻)) 𝑇 ∩ 𝐻 ↪ 𝛿(𝐻). 𝑀 ∈Mod-ℛ is named to be a (GS-module) 𝛿-GS-module according to ( [4] and [5]), respectively, if ∀ submodule of 𝑀 ∈ Mod-ℛ have a generalized (supplement) 𝛿-supplement in 𝑀.…”

Section: Introductionmentioning

confidence: 99%

Some Generalizations of g-lifting Modules

Ghawi

2023

J. Al-Qadisiyah Comp. Sci. Math.

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In this work we will attempt to define and investigate new classes of modules named -g-supplemented and -g-radical supplemented as a proper generalization of class of g-lifting modules and identify several distinct characterizations of these modules. Additionally, we'll attempt to explain the concepts of projective g-covers and g-semiperfect modules. It is shown that the two buildings of g-semiperfect and -g-supplemented modules are the same for the class of projective modules.

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Section: Introductionmentioning

confidence: 99%