On $\Pi$-coherence of rings

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Hacettepe Journal of Mathematics and Statistics
Volume:46 Issue:5
On $\Pi$-coherence of rings

On $\Pi$-coherence of rings

Authors : Zhu ZHANMİN

Pages : 875-886

View : 26 | Download : 7

Publication Date : 2017-10-01

Article Type : Research Paper

Abstract :Let $n$ be a fixed positive integer. A ring $R$ is called left $n$-$\Pi$-coherent if every $n$-generated torsionless left $R$-module is finitely presented, some characterizations and applications of $n$-$\Pi$-coherent rings are obtained.
Keywords : n Pi coherent rings, n GF rings, n semihereditary rings, strongly n semihereditary rings

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