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Some applications of the product of submodules in multiplication modules | ||
| Iranian Journal of Science | ||
| مقاله 2، دوره 35، شماره 4، بهمن 2011، صفحه 273-277 اصل مقاله (132.29 K) | ||
| نوع مقاله: Regular Paper | ||
| شناسه دیجیتال (DOI): 10.22099/ijsts.2011.2151 | ||
| نویسندگان | ||
| A. Azizi* 1؛ C. Jayaram2 | ||
| 1Department of Mathematics, College of Sciences, Shiraz University, Shiraz, Iran | ||
| 2University of the West Indies, Department of Mathematics, Bridgetown, Barbados | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Multiplication ideal؛ multiplication module؛ prime submodule؛ principal ideal multiplication module؛ product of submodules؛ Quasi cyclic submodule | ||
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