On multiplication modules

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Let R be a commutative ring with identity and M be a unital R-module. Then M is called a multiplication module provided for every submodule N of M there exists an ideal I of R such that N = IM. Our objective is to investigate properties of prime and semiprime submodules of multiplication modules. Mathematics Subject Classification: 13C05, 13C13

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ژورنال

عنوان ژورنال: International Mathematical Forum

سال: 2006

ISSN: 1314-7536

DOI: 10.12988/imf.2006.06096