∏-COHERENT DIMENSIONS AND ∏-COHERENT RINGS Mao, Lixin;
R is called a right ring in case every finitely generated torsion less right R-module is finitely presented. In this paper, we define a dimension for rings, called dimension, which measures how far away a ring is from being . This dimension has nice properties when the ring in question is coherent. In addition, we study some properties of rings in terms of preenvelopes and precovers.