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Amini, M.. (1401). n-Super finitely copresented and n-weak projective modules. فیزیولوژی و بیوتکنولوژی آبزیان, 10(2), 99-112. doi: 10.22124/jart.2022.22576.1412
M. Amini. "n-Super finitely copresented and n-weak projective modules". فیزیولوژی و بیوتکنولوژی آبزیان, 10, 2, 1401, 99-112. doi: 10.22124/jart.2022.22576.1412
Amini, M.. (1401). 'n-Super finitely copresented and n-weak projective modules', فیزیولوژی و بیوتکنولوژی آبزیان, 10(2), pp. 99-112. doi: 10.22124/jart.2022.22576.1412
Amini, M.. n-Super finitely copresented and n-weak projective modules. فیزیولوژی و بیوتکنولوژی آبزیان, 1401; 10(2): 99-112. doi: 10.22124/jart.2022.22576.1412

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
مراجع
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