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Cofinitely @Dj-supplemented modules

Publication Date
Sat Dec 30 2023
Journal Name
Iraqi Journal Of Science
Generalized Amply Cofinitely Supplemented Modules

Let R be an associative ring with identity. An R-module M is called generalized
amply cofinitely supplemented module if every cofinite submodule of M has an
ample generalized supplement in M. In this paper we proved some new results about
this conc- ept.

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Publication Date
Sun May 01 2022
Journal Name
Journal Of Physics: Conference Series
D_j -Supplemented Modules

Scopus
Publication Date
Fri May 01 2020
Journal Name
Journal Of Physics: Conference Series
⊕-J-supplemented modules

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Scopus
Publication Date
Mon Mar 01 2021
Journal Name
Journal Of Physics: Conference Series
⊕-Rad -supplemented modules

Publication Date
Sun Mar 01 2020
Journal Name
Baghdad Science Journal
On S*-Supplemented Modules

The main goal of this paper is to introduce and study a new concept named d*-supplemented which can be considered as a generalization of W- supplemented modules and d-hollow module. Also, we introduce a d*-supplement submodule. Many relationships of d*-supplemented modules are studied. Especially, we give characterizations of d*-supplemented modules and relationship between this kind of modules and other kind modules for example every d-hollow (d-local) module is d*-supplemented and by an example we show that the converse is not true.

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Publication Date
Mon May 31 2021
Journal Name
Iraqi Journal Of Science
FI--J-supplemented modules

A Module M is called cofinite  J- Supplemented  Module  if for every  cofinite submodule L of  M, there exists a submodule N of M such that M=L+N with   main properties of cof-J-supplemented modules.  An R-module M is called fully invariant-J-supplemented if for every fully invariant submodule N of M, there exists a submodule K of M, such that M = N + K with N  K K. A condition under which the direct sum of FI-J-supplemented modules is FI-J-supplemented was given. Also, some types of modules that are related to the FI-J-supplemented module were discussed.

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Publication Date
Tue Nov 30 2021
Journal Name
Journal Of The Indonesian Mathematical Society
e*-Hollow-Lifting and Cofinitely e*-Lifting Modules

Publication Date
Sat Jan 01 2022
Journal Name
Int. J. Nonlinear Anal. Appl.
H - He-essential-supplemented modules

Publication Date
Sun May 17 2020
Journal Name
Iraqi Journal Of Science
Essential T- Weak Supplemented Modules

An R-module M is called ET-H-supplemented module if for each submodule X of M, there exists a direct summand D of M, such that T⊆X+K if and only if T⊆D+K, for every essential submodule K of M and T M. Also, let T, X and Y be submodules of a module M , then we say that Y is ET-weak supplemented of X in M if T⊆X+Y and (X⋂Y M. Also, we say that M is ET-weak supplemented module if each submodule of M has an ET-weak supplement in M. We give many characterizations of the ET-H-supplemented module and the ET-weak supplement. Also, we give the relation between the ET-H-supplemented and ET-lifting modules, along with the relationship between the ET weak -supplemented and ET-lifting modules.

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Publication Date
Sun May 26 2019
Journal Name
Iraqi Journal Of Science
On H-µ-supplemented modules

Weosay thatotheosubmodules A, B ofoan R-module Moare µ-equivalent , AµB ifoand onlyoif <<µand <<µ. Weoshow thatoµ relationois anoequivalent relationoand hasegood behaviorywith respectyto additionmof submodules, homorphismsr, andydirectusums, weaapplyothese resultsotoointroduced theoclassoof H-µ-supplementedomodules. Weosay thatoa module Mmis H-µ-supplementedomodule ifofor everyosubmodule A of M, thereois a directosummand D ofoM suchothat AµD. Variousoproperties ofothese modulesoarepgiven.

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