… into the properties of local rings with weak global dimension two, utilizing both homological
… We will prove that A is finitely generated, and so M is finitely presented flat, and therefore …

… approximation theory and relative homological algebra, a theory … and small restricted injective
dimensions of Christensen, … we will also use the weak finitistic dimension of 𝑅 defined as …

… global dimension and Gorenstein weak dimension over the … injective, flat) dimension of an
R-module M will be denoted by \… finite left and right self-injective dimensions) and rings with …

… Matlis, based on the notion of injective hull, which we present in … dimension for modules,
called the projective (resp., injective) … the notions of flat, projective and locally free modules. We …

… of the exact complexes of injective modules that remain exact … developed branch of relative
homological algebra. As the … cofibrations, fibrations, and weak equivalences, all subject to a …

… is zero if and only if this map is injective. If R is a Noetherian ring, then every … weak global
dimension at most one [10, Corollary 4.2.6], meaning that submodules of flat R-modules are flat…

… one-dimensional representation, which we denote by 1. The … of injective words - a classical
object within the area of … This vanishing line is weaker than the one obtained by Boyd–…

… explored the homological dimensions obtained by replacing … We also introduced the class
of almost FPn-injective modules … any module over an arithmetical ring R has weak dimension 0…

… we prove that C∞(V ) is flat as a module over O(V). From this we … can be nontrivial in degrees
beyond the dimension of V . Our … From Lemma 1.4 we know that ˆµGv is injective. We would …

… of well known properties in classical homological algebra over … ring of finite weak
Gorenstein global dimension, the … of the flat lengths (dimensions) of injective left k-modules; it …