… and the related finitistic Gorenstein projective dimension of the … For this, we define the finitistic
projective dimension of R in … 4, we investigate some results on orthogonal classes of G C -…

… Given a class C of Λ -modules, we denote by F ( C ) the … got that the projective finitistic
dimension of a standardly stratified … Given a self-orthogonal module T , we consider the following …

… In Section 1, we review basic properties of Ext-orthogonal classes, complete cotorsion
pairs and tilting modules following [1] and [9]. Our main results for the right coherent case are …

… finitistic dimensions, it is sometimes more convenient to look at some alternative classes of
modules, other than the obvious classes … for other Ext-perpendicular classes of a singleton. It …

… classes of modules on which the finitistic dimension is known to be attained. In contrast to the
global dimension, the finitistic dimensions … a full set of n orthogonal idempotents. However, …

… finitistic dimension conjecture. In this way we obtain a large class of algebras for which the
finitistic dimension … arrows α,γ and the two primitive orthogonal idempotents e 1 and e 2 , and …

… 4.12]) because our classes of modules are rarely closed under … by the class of all modules
of finite projective dimension … to the class of modules of finite projective dimension. This new …

… Let W be a class of left A-modules. Recall that W is self-orthogonal if it satisfies Ext i A (W, W
… In what follows, W always denotes a self-orthogonal class of left A-modules which is closed …

… classical ring of quotients with finitistic dimension 0 and we investigate the consequences on
the class P1, proving Theorem 7.2 … We will consider also Tor orthogonal classes. For every …

… F (R) we denote the classes of all projective, injective and flat R… The left orthogonal class ⊥
P (R) is closed under arbitrary … We compare the (left) finitistic Gorenstein projective dimension …