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Publication Date
Sun Jan 01 2012
Journal Name
International Mathematical Forum
Volume
7
Issue Number
56
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Epiform∗ Modules
epiform modules
epiform∗ modules
coquasi-Dedekind modules
Corational submodules
د. Muna Abbas Ahmed
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Let R be a commutative ring with unity 1 6= 0, and let M be a unitary left module over R. In this paper we introduce the notion of epiform∗ modules. Various properties of this class of modules are given and some relationships between these modules and other related modules are introduced.

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Publication Date
Sat Mar 11 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
End á´ª -Prime Submodules
Prime submodule
weakly prime submodules
ɸ-prime submodules
Nuhad S.
Adwia J.
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      Let R be a commutative ring with identity and M  an unitary R-module. Let (M)  be the set of all submodules of M, and : (M)  (M)  {} be a function. We say that a proper submodule P of M is end--prime if for each   EndR(M) and x  M, if (x)  P, then either x  P + (P) or (M)  P + (P). Some of the properties of this concept will be investigated. Some characterizations of end--prime submodules will be given, and we show that under some assumtions prime submodules and end--prime submodules are coincide.

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Publication Date
Tue Oct 20 2020
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Fuzzy Semimaximal Submodules
Let R be a commutative ring with unity and an R-submodule N is called semimaximal if and only if M⁄(Nis a semisimple R-module ).The main objective of this work is to fuzzify this concept
study the basic properties and we investigate the sufficient conditions of F-submodules to be semimaximal .Also the concepts of (simple
semisimple) F- submodules and quotient F- modules are introduced and given some properties .
Maysoun
Hatam
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     Let R be a commutative ring with unity and an R-submodule N is called semimaximal if and only if

 the sufficient conditions of F-submodules to be semimaximal .Also the concepts of (simple , semisimple) F- submodules and quotient F- modules are  introduced and given some  properties .

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Crossref (1)
Crossref
Publication Date
Wed May 17 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Coprime Submodules
Coprime submodules
second submodule
second (coprime) module
secondary module.
I. M. A.
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  Let R be a commutative ring with unity and let M be a unitary R-module. Let N be a proper submodule of M, N is called a coprime submodule if   is a coprime R-module, where   is a coprime R-module if for any r  R, either O      r or     r .         In this paper we study coprime submodules and give many properties related with this concept.

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