some applications of the product of submodules in multiplication modules
نویسندگان
چکیده
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.
منابع مشابه
Some applications of the product of submodules in multiplication modules
Let R be a commutative ring with identity. Let N and K be two submodules of a multiplication R-module M. Then N=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. In this paper we characterize some particular cases of multiplication modules by using the product of submodules.
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عنوان ژورنال:
iranian journal of science and technology (sciences)ISSN 1028-6276
دوره 35
شماره 4 2011
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