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n-Super finitely copresented and n-weak projective modules | ||
| Journal of Algebra and Related Topics | ||
| دوره 10، شماره 2، اسفند 2022، صفحه 99-112 اصل مقاله (330.82 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2022.22576.1412 | ||
| نویسنده | ||
| M. Amini* | ||
| Department of Mathematics, University of Payame Noor, Tehran, Iran | ||
| چکیده | ||
| Let $R$ be a ring and $n$ a non-negative integer. In this paper, we first introduce the concept of $n$-super finitely copresented $R$-modules and via these modules, we give a concept of $n$-weak projective modules and investigate some characterizations of these modules over any arbitrary ring. For example, we obtain that ($\mathcal{WP}^{n}(R), \mathcal{WP}^{n}(R)^{\bot}$) is a perfect hereditary cotorsion theory and for any $N\in \mathcal{WP}^n(R)^{\bot}$, there exists an $n$-weak projective cover with the unique mapping property if and only if every $R$-module is $n$-weak projective. | ||
| کلیدواژه‌ها | ||
| $n$-weak projective module؛ $n$-weak injective module؛ $n$-super finitely copresented module؛ $n$-super finitely presented | ||
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آمار تعداد مشاهده مقاله: 115 تعداد دریافت فایل اصل مقاله: 213 |
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