On G-$(n,d)$-rings

Abstract

The main aim of this paper is to investigate new class of rings called, for positive integers $n$ and $d$, $G-(n,d)-$rings, over which every $n$-presented module has a Gorenstein projective dimension at most $d$. Hence we characterize $n$-coherent $G-(n,0)-$rings. We conclude by various examples of $G-(n,d)-$rings.