A characterization of finitely generated multiplication modules | ||
| Categories and General Algebraic Structures with Applications | ||
| مقاله 5، دوره 4، شماره 1، اردیبهشت 2016، صفحه 63-74 اصل مقاله (421.15 K) | ||
| نوع مقاله: Research Paper | ||
| نویسندگان | ||
| Somayeh Karimzadeh* ؛ Somayeh Hadjirezaei | ||
| Department of Mathematics, Vali-e-Asr University of Rafsanjan, P.O. Box 7718897111, Rafsanjan, Iran. | ||
| چکیده | ||
| Let $R$ be a commutative ring with identity and $M$ be a finitely generated unital $R$-module. In this paper, first we give necessary and sufficient conditions that a finitely generated module to be a multiplication module. Moreover, we investigate some conditions which imply that the module $M$ is the direct sum of some cyclic modules and free modules. Then some properties of Fitting ideals of modules which are the direct sum of finitely generated module and finitely generated multiplication module are shown. Finally, we study some properties of modules that are the direct sum of multiplication modules in terms of Fitting ideals. | ||
| کلیدواژهها | ||
| Fitting ideals؛ multiplication module؛ projective module | ||
| مراجع | ||
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آمار تعداد مشاهده مقاله: 2,898 تعداد دریافت فایل اصل مقاله: 1,894 |
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