… finite asymptotic dimension is weakly coherent. In particular, there is a large collection of
R[Γ ]-modules of finite homological dimension when R is a finite-dimensional regular ring. This …

… left homological dimension of a light coherent, left noetherian … Some extensions to certain
rings with Gabriel dimension in … and left global dimensions of certain right coherent rings. We …

… coherence disappears for higher rank modules and we must rely on cardinality conditions to
give estimates of the dimensions… dimension two, what conditions are forced on the base ring …

… In this paper, we introduce Wideals and FGT-projective dimension of a ring in … of a ring) and
a classification of If-coherent rings; meanwhile, we also get other interesting results. All rings …

… In this paper, we define a dimension for rings, called II-coherent dimension, which mea…
dim(R) < wD(R)-- rrcD(R) for a right coherent ring R. Let R and S be right coherent rings, we show …

… between coherent and J-coherent rings. For instance, we prove that R is a left J-coherent ring
if … and J-flat modules are used to define two homological dimensions of modules and rings. …

… -coherent rings for a fixed positive integer n. We give various equivalent conditions for a ring
to be left tz-coherent… the following two lemmas which are standard homological algebra fare. …

… ring is called a left (right) coherent ring if every finitely generated left (right) ideal is finitely
presented. A left and right coherent ring is called a coherent ring… a commutative coherent ring R…

… that polynomial rings in one variable over non-coherent rings of weak dimension one might
be … Examples of noncoherent rings of weak dimension one occur in [GI. (But note that none of …

… So, in order to make the properties of relative homological algebra hold over any ring, it …
the Gorenstein homological properties from Noetherian or coherent rings to any rings. In Section …