n-Coherence Relative to a Hereditary Torsion Theory

Zhu Zhanmin and Elena Guardo

Journal of Mathematics, 2020, vol. 2020, 1-5

Abstract: Let R be a ring, τ=T,ℱ a hereditary torsion theory of mod-R, and n a positive integer. Then, R is called right τ-n-coherent if every n-presented right R-module is τ,n+1-presented. We present some characterizations of right τ-n-coherent rings, as corollaries, and some characterizations of right n-coherent rings and right τ-coherent rings are obtained.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:9651894

DOI: 10.1155/2020/9651894

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