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arXiv · 0801.2067

On n-Perfect Rings and Cotorsion Dimension

D. Bennis·N. Mahdou
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Abstract

A ring is called $n$-perfect ($n\geq 0$), if every flat module has projective dimension less or equal than $n$. In this paper, we show that the $n$-perfectness relate, via homological approach, some homological dimension of rings. We study $n$-perfectness in some known ring constructions. Finally, several examples of $n$-perfect rings satisfying special conditions are given.

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D. Bennis, N. Mahdou. 2008-09-10. On n-Perfect Rings and Cotorsion Dimension. https://arxiv.org/abs/0801.2067

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