… projective, injective and flat dimensions, we present a few applications. … functor. We give
proofs for the results regarding the covariant Hom functor; those on the contravariant functor …

… -valued 2-functor on a 2-category is defined to be flat in terms of a … 2-fibration for 2-dimensional
generalization. This will be a 2-… The point is that the latter description admits of an internal …

… the Gorenstein flat dimension except … flat dimension of a module M is finite, one cannot
express GfdR(M) in terms of the vanishing of the Tor functor or Gorenstein flatness of yokes of flat …

… the 'fiat' deformation functor, as we shall see. The convenience of the general description of
the … tative Q~n_group scheme associated to V, so the k-action on the (onedimensional) flat Ip-…

… the 2-dimensional theory of flat functors. We define a 2-functor Ap −→ Cat to be flat when its
… notion of flat 2-functor, and we use in this paper σ-limits that are neither lax nor pseudolimits. …

… Explicit descriptions of M(S) when S is a disk or annulus are … and denote their 0- and 1-dimensional
strata by ∂0S and ∂1S … Applying the functor f∗ we thus find that Y is isomorphic to a …

… In particular, it leads to a coherent description of the Stokes phenomenon, ie, the fact that …
-dimensional analogues of the Hukuhara-Levelt-Turrittin decomposition for irregular flat formal …

… functorial descriptions for the FP n -injective dimension of complexes in terms of the functor
… of the injective and FP-injective dimensions of complexes proved by García Rozas in [Citation…

… such that F remains exact after applying the functor I ⊗R − for each injective right R-module
I and M := Im(F0 → F-1). These new concepts allowed Enochs and Jenda [14] to introduce …

… for the good behavior of functor categories. When the domain … sections contain more detailed
descriptions of our families of … structure like that for finite dimensional vector spaces; the …