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.
Amini, M. (2022). n-Super finitely copresented and n-weak projective modules. Journal of Algebra and Related Topics, 10(2), 99-112. doi: 10.22124/jart.2022.22576.1412
MLA
M. Amini. "n-Super finitely copresented and n-weak projective modules". Journal of Algebra and Related Topics, 10, 2, 2022, 99-112. doi: 10.22124/jart.2022.22576.1412
HARVARD
Amini, M. (2022). 'n-Super finitely copresented and n-weak projective modules', Journal of Algebra and Related Topics, 10(2), pp. 99-112. doi: 10.22124/jart.2022.22576.1412
VANCOUVER
Amini, M. n-Super finitely copresented and n-weak projective modules. Journal of Algebra and Related Topics, 2022; 10(2): 99-112. doi: 10.22124/jart.2022.22576.1412
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