… More specifically, recall that the Schur algebra can be defined as the endomorphism algebra
of direct … dimensions. The finitistic dimension of an algebra is the supremum of projective …

… by Igusa and Zacharia [6] (as a by-product of our considerations, we will obtain yet another
proof for the finiteness of the finitistic dimensions in that case - in fact we will pin down this …

… whether this can be extended to all endomorphism: we show by a counterexample that
there exist endomorphisms of the free algebra over two generators which are not periodic. To …

… of the endomorphism algebra B of the module H. We show that this algebra is standardly …
In this section we calculate the finitistic dimension of a properly stratified algebra A having a …

… finitistic dimension of every finite dimensional algebra is finite. Here, the finitistic dimension
… Since the indecomposable direct summands Im(l 0 din) have local endomorphism rings, we …

… A category C in which every endomorphism is an isomorphism is called EI category. We
will only consider finite EI categories, ie those with only finitely many morphisms, to which we …

… the global dimension of the endomorphism ring of M … algebras with representation dimension
at most 3, Igusa and Todorov [IT] have shown that the finitistic dimension of these algebras …

… on the finitistic dimension of stratified algebras, involving the projective dimension of the
characteristic tilting module, and we use these results to compute the finitistic dimensions of …

… If PR is finitely generated projective and c is the -R-endomorphism ring of PR, such that CPR,
then for XR, Horn (PR, XB)C is artinian (noetherian) if and only if XR satisfies the minimum (…

… algebra behaves well with respect to the extension groups. As main results, we establish the
finitistic injective dimension … of the strong no loop conjecture for strictly stratified algebras. …