Fully primary modules and some variations
عنوان مقاله: Fully primary modules and some variations
شناسه ملی مقاله: JR_JART-1-1_001
منتشر شده در در سال 1392
شناسه ملی مقاله: JR_JART-1-1_001
منتشر شده در در سال 1392
مشخصات نویسندگان مقاله:
A. Nikseresht - Shiraz University
H. Sharif - Shiraz University
خلاصه مقاله:
A. Nikseresht - Shiraz University
H. Sharif - Shiraz University
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.
کلمات کلیدی: Fully primary module, k, primary submodule, k-primary submodule
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/2026885/