n-Super finitely copresented and n-weak projective modules

Document Type : Research Paper

Author

Department of Mathematics, University of Payame Noor, Tehran, Iran

Abstract

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.

Keywords

References

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Journal of Algebra and Related Topics
Volume 10, Issue 2
December 2022
Pages 99-112

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