On $\Pi$-coherence of rings

Year 2017, Volume: 46 Issue: 5, 875 - 886, 01.10.2017

Zhu Zhanmin

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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