On $\Pi$-coherence of rings

Yıl 2017, Cilt: 46 Sayı: 5, 875 - 886, 01.10.2017

Zhu Zhanmin

Öz

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.

Anahtar Kelimeler

n-$\Pi$-coherent rings, n-GF rings, n-semihereditary rings, strongly n-semihereditary rings

Kaynakça

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