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Publication Date
Fri Jan 01 2010
Journal Name
Iraqi Journal Of Science
Volume
51
Issue Number
4
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PRIME HOLLOW MODULES
Hollow Modules
Prime Submodules
Prime Hollow Modules
د. Muna Abbas Ahmed
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A non-zero module M is called hollow, if every proper submodule of M is small. In this work we introduce a generalization of this type of modules; we call it prime hollow modules. Some main properties of this kind of modules are investigated and the relation between these modules with hollow modules and some other modules are studied, such as semihollow, amply supplemented and lifting modules.

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Crossref (1)
Crossref
Publication Date
Wed May 17 2017
Journal Name
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Coprime Submodules
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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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