… In this paper, we use co-homological conditions on A to control the finitistic dimension of eAe…
finitistic dimension conjecture. Let us denote the finitistic dimension and global dimension of …

… As one of the corollaries of our results we also get upper bounds for the finitistic dimension
of … As we have a large class of examples for which equality holds we formulate the following …

… The equivalence classes of this relation are called the path connected components of Q.
We call a path connected component of Q trivial if it consists of one vertex v and the only cycle …

… We then classify the standardly stratified Nakayama algebras of infinite global dimension
and look at their finitistic dimension to obtain our second main result. We remark that a proof of …

… R > 2 is just the class of endomorphism-rings R of fully faithful (finitely generated)
modules … It is an old conjecture that the finitistic global projective dimension of any (finite-dimensional) …

… 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, …

… Our second goal here is to present a new class of algebras Λ … with uniformizing parameter
π and residue class field K. The … in which the left and right finitistic dimensions of O differ, and …

… containing a complete set of primitive orthogonal idempotents closed under the action of a
… We classify global dimensions and finitistic dimensions of crossed products for arbitrary left …

… 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 …

… It is rather striking, but this will not be presented here, to see that many proposals have been
put forward in the course of our history to demonstrate that space, time and man should be …