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Title
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STRONGLY IRREDUCIBLE SUBMODULES IN A
NOETHERIAN MODULE
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Type of Research
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Presentation
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Keywords
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Arithmetical module, irreducible submodule, multiplica-
tion module, strongly irreducible submodule, prime submodule, primal submodule.
Speaker.
1
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Abstract
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The purpose of this talk is to present some properties
of the strongly irreducible submodules in a Noetherian module
over a commutative ring. The relationship among the families
of strongly irreducible submodules, irreducible submodules, prime
submodules and primal submodules is proved. Also, several new
characterizations of the arithmetical modules are given. In the case
when the ring is Noetherian, several characterizations of strongly
irreducible submodules are included.
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Researchers
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Monireh Sedghi (First Researcher)، Reza Naghipour (Second Researcher)
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