some applications of the product of submodules in multiplication modules
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let r be a commutative ring with identity. let n and k be two submodules of a multiplication r-module m. thenn=im and k=jm for some ideals i and j of r. the product of n and k denoted by nk is defined by nk=ijm. inthis paper we characterize some particular cases of multiplication modules by using the product of submodules.
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Journal title:
iranian journal of science and technology (sciences)ISSN 1028-6276
volume 35
issue 4 2011
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