… algebras where the subcategory of Gorenstein projective modules does not coincide with ⊥…
This is an analog of the finitistic dimension and we will see that this dimension can be infinite…

… A cotorsion pair ( L , R ) is said to be n-tilting-like (for some integer n ≥ 0 ) if R = ( T ⊕ S )
⊥ ∞ , where T is an n-tilting Λ-module and S is a strongly Gorenstein projective module. …

… Bridger and introduced the notion of Gorenstein projective modules (not necessarily finitely
… modules over a left and right noetherian ring. The class of Gorenstein projective modules has …

… these modules. As consequences, we show that a module M has Gorenstein projective
dimension at … And, over rings of finite left finitistic flat dimension, that a module of finite Gorenstein …

… finitistic dimension of the trivially twisted extension of two algebras of finite finitistic dimension
… [16], we only use properties of relatively projective modules to get our results. The proofs of …

… between the classical finitistic projective dimension, FPD ( R ) = … the related finitistic Gorenstein
projective dimension of the … R-module C, we define the finitistic projective dimension of R …

… Gorenstein projective modules. The main purpose is to give functorial descriptions of the
Gorenstein projective dimension… We compare the (left) finitistic Gorenstein projective dimension …

… –dimension of finitely generated modules; see [49]. Before describing the criteria for finiteness
of Gorenstein projective, injective and flat dimensions, … of Gorenstein projective modules is …

… projective dimension, also for non-finite modules - and we prove that a module has finite
Gorenstein projective dimension … give an example of a ring with non-projective modules in G(R). …

… modules of finite Gorenstein projective dimension) implies validity of the second finitistic
dimension … Gorenstein projective modules) is contravariantly finite and the converse holds for …