… To formulate some of the homological conjectures we need some … well-known hierarchy of
some of the homological conjectures: … For a finite-dimensional algebra A we denote by J the …

… such that the sets X n A' are all finite. PROPOSITION 14. The category AV of all locally …
If P/NP E AV then the set {as} must be finite in each degree and thus PE AV. To prove Axiom …

… the same way as the class of modules of finite projective dimension characterizes regular
rings and the class of modules of finite CI-dimension characterizes complete intersections. …

… homological dimensions, defined for finitely generated modules M over a commutative
noetherian local ring R, and refining the classical projective dimension… finite projective dimension. …

… certain algebraic properties of ideals of finite homological dimension in local rings. In the
first section, I show that no non-zero ideal of finite homological dimension in a local ring can be …

… Abstract We study homological properties of test modules that are, in principle, modules that
… of finite homological dimensions. We start by recalling GC -dimension; it is a homological …

… of the objects of finite projective dimension in -mod and -Mod … homological dimensions of
: the left little finitistic dimension, lfin.dim , which is the supremum of the projective dimensions …

… of finite (covering) dimension and finite homology characteristic which has infinitely many
non-zero … homology groups ? Such spaces are known (3) with infinite homology characteristic. …

… There is a variety of nice results about Gorenstein dimensions … give homological descriptions
of the Gorenstein dimensions … M with finite Gorenstein projective dimension admits a nice …

… We use [3] as a reference source for homological algebra. We … E we denote by hdRE the
integer (finite or + co) which in [3] … global dimension and the finitistic global dimension given by …