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Publication Date
Thu May 11 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Volume
25
Issue Number
1
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jih-700
Semiprime Fuzzy Modules
Prime fuzzy module
semiprime module
semiprime fuzzy module.
M. A.
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  In this paper we introduce the notion of semiprime fuzzy module as a generalization of semiprime module. We investigate several characterizations and properties of this concept.

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Publication Date
Tue Sep 29 2020
Journal Name
Iraqi Journal Of Science
A Jordan Higher Reverse Left (resp. right) Centralizer on Prime -Rings
prime -ring
higher reverse left (resp. right) centralizer
Jordan higher reverse left (resp. right) centralizer
Fawaz Ra'ad
Salah Mehdi Salih
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In this paper,  we introduce the concepts of  higher reverse left (resp.right)   centralizer, Jordan higher reverse left (resp. right) centralizer, and Jordan triple higher reverse left (resp. right) centralizer of  G-rings. We prove that every Jordan higher reverse left (resp. right) centralizer of a 2-torsion free prime G-ring M is a higher reverse left (resp. right) centralizer of  M.

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Publication Date
Wed Nov 30 2022
Journal Name
Iraqi Journal Of Science
Jordan generalized Γ- (σ,τ) -Derivation on Prime Γ-Near Rings
Γ-near- ring
generalized Γ-Derivation
(σ
τ)- DerivationonΓ- ring
Jordan derivation on prime Γ-near ring
Ali Kareem
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      In this paper, we introduce the notion of Jordan generalized Derivation on prime and then some related concepts are discussed. We also verify that every Jordan generalized Derivation is generalized Derivation when  is a 2-torsionfree prime .

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Scopus Crossref
Publication Date
Tue Mar 14 2023
Journal Name
Iraqi Journal Of Science
On Two Sided -n-Derivations in Prime near – Rings
prime near-ring
semi group ideal
derivation
n-derivation
two sided α- derivation
two sided α-n-derivation
Abdulrahman
Enaam
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In this paper, we investigate prime near – rings with two sided α-n-derivations
satisfying certain differential identities. Consequently, some well-known results
have been generalized. Moreover, an example proving the necessity of the primness
hypothesis is given.

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Publication Date
Wed Sep 12 2018
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
W-Closed Submodule and Related Concepts
Closed submodules
Weak essential submodules
W-closed submodules
completely essential modules
y-closed submodules
Minimal semi-prime submodules.
Haibat
Mohammad
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    Let R be a commutative ring with identity, and M be a left untial module. In this paper we introduce and study the concept w-closed submodules, that is stronger form of the concept of closed submodules, where asubmodule K of a module M is called w-closed in M, "if it has no proper weak essential extension in M", that is if there exists a submodule L of M with K is weak essential submodule of L then K=L. Some basic properties, examples of w-closed submodules are investigated, and some relationships between w-closed submodules and other related modules are studied. Furthermore, modules with chain condition on w-closed submodules are studied.   

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