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Fully primary modules and some variations | ||
| Journal of Algebra and Related Topics | ||
| مقاله 1، دوره 1، شماره 1، بهمن 2013، صفحه 1-17 اصل مقاله (428.41 K) | ||
| نوع مقاله: Research Paper | ||
| نویسندگان | ||
| A. Nikseresht* ؛ H. Sharif | ||
| Shiraz University | ||
| چکیده | ||
| Let R be a commutative ring and M be an R-module. We say that M is fully primary, if every proper submodule of M is primary. In this paper, we state some characterizations of fully primary modules. We also give some characterizations of rings over which every module is fully primary, and of those rings over which there exists a faithful fully primary module. Furthermore, we will introduce some variations of fully primary modules and consider similar questions about them. | ||
| کلیدواژهها | ||
| Fully primary module؛ k؛ primary submodule؛ k-primary submodule | ||
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