Amply Essential Supplemented Modules

Nebiyev, Celil; Ökten, Hasan Hüseyin; Pekin, Ayten

doi:10.9734/jsrr/2018/45651

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Introduction4

Essential Supplemented Lattices1

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Cited by 10 publications

(14 citation statements)

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“…This concept is a generalization of an essential supplemented module. The definition of essential supplemented modules and some properties of these modules are in [11].…”

Section: Essential Supplemented Latticesmentioning

confidence: 99%

Essential supplemented lattices

Ökten¹,

Pekin²

2020

MMN

Self Cite

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“…This concept is a generalization of an essential supplemented module. The definition of essential supplemented modules and some properties of these modules are in [11].…”

Section: Essential Supplemented Latticesmentioning

confidence: 99%

Essential supplemented lattices

Ökten¹,

Pekin²

2020

MMN

Self Cite

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“…M/X, then we say Y lies above X in M. More information about (amply) supplemented modules are in [3,9,10] and [11]. More information about (amply) essential supplemented modules are in [5,6]. More results about g-small submodules and g-supplemented modules are in [4,7].…”

Section: Introductionmentioning

confidence: 99%

Essential radical supplemented modules

Nebiyev¹

2021

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In this work, (amply) essential radical supplemented modules are defined and some properties of these modules are investigated. Let M be an R-module andIt is proved that every factor module and every homomorphic image of an essential radical supplemented module are essential radical supplemented. Let M be an essential radical supplemented R-module. Then every finitely M-generated R-module is essential radical supplemented.

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“…More details about supplemented modules are in [2,11]. More details about essential supplemented modules are in [7,8]. More informations about g-small submodules and g-supplemented modules are in [3,4].…”

Section: Introductionmentioning

confidence: 99%

Essential g-radical supplemented modules

Nebiyev¹,

Ökten²

2021

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Let M be an R-module. If every essential submodule of M has a g-radical supplement in M, then M is called an essential g-radical supplemented (or briefly eg-radical supplemented) module. In this work, some properties of these modules are investigated. It is proved that every factor module and every homomorphic image of an eg-radical supplemented module are eg-radical supplemented. Let M be an eg-radical supplemented module. Then every finitely M-generated R-module is eg-radical supplemented.

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Amply Essential Supplemented Modules

Cited by 10 publications

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Essential supplemented lattices

Essential supplemented lattices

Essential radical supplemented modules

Essential g-radical supplemented modules

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