… Special super finitely presented dimension of modules and rings In this section, we give
some homological aspects of modules with finite n-weak injective and n-weak flat dimensions. …

… injectivity studied by the authors of [28,34,36,37,39], we will introduce the φinjective dimension,
φ-projective dimension and φ-flat … and to give some φ-homological properties. All rings …

… -module is w-flat, ie, ww.gl.dim(R) = 0. In 2015, Wang and Qiao [17] studied several properties
of the w-weak global dimension, … Jx ⊆ M where E(M) is the injective envelope of M. The w-…

… homological invariants here are sfliR, the supremum of the flat lengths (dimensions) of injective
modules, … Gorenstein global dimension and the Goresntein weak global dimension, we …

… The notion of a “semidualizing module” is a central notion in relative homological algebra.
This notion was first introduced by Foxby [9]. Then Vasconcelos [22] and Golod [11] …

… of homological properties of various operator modules over the … module necessarily has the
weak expectation property in the … A module X ∈ A mod is λ-flat if its dual X ⁎ is λ-injective in …

… In the recent years, the homological theory for weak injective and weak flat modules has
become an important area of research (see [Citation1, Citation10, Citation11, Citation18, …

… homological dimensions such as the weak global dimension, cotorsion dimension and weak
Gorenstein global dimension … copure flat if TorR i (E,M)=0 for all injective right R-module E …

… P is a finite poset and the P-module has finite dimension as a … are flat or injective to arbitrary
upset or downset modules, … is a priori weaker than homological tameness via upset or …

… the left weak global dimension that comes from GF(F,A) is characterized by the flat dimension
of … we consider the class F(R) of all flat R-modules and the class I(Rop) of all injective Rop-…