n-Coherence Relative to a Hereditary Torsion Theory

الملخص EN

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.