… R-module such that its endomorphism ring S is left noetherian, then Q is a finitistic 1-self-…
notions and finitistic 1-self-cotilting notion for the case R is a finite dimensional k-algebra. I am …

IYTRODCCTION 1: n~ onorphism rings of various types of modules have been objects of
extensive study in the recent past [2, 11, 14, 15, 18, 25, 261. In [15] Erika Mares introduced the …

… showed that the finitistic dimension of Artin algebras with representation dimension at most
three … Since every Artin algebra can be realized as an endomorphism algebra of a projective …

Over a ring A let PA be a finitely generated projective right A-module with A-endomorphism
ring B. Anderson has called PA an injector, perfect injector, projector, perfect projector, if the …

… Finally, we extend a result of Tambara on the finitistic dimension of cohomological Mackey
… Thus we obtain a Morita equivalent endomorphism algebra if we take the direct sum over a …

… are precisely 1-minimal Auslander–Gorenstein algebras. When considering such a tilting …
dimension of its endomorphism algebra, and discuss a connection with the Finitistic Dimension …

… 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 …

… on finitistic dimension and representation dimension, we refer … Concerning the relationship
of the finitistic dimension … Finally, we denote by Λ and Γ the endomorphism algebras …

… 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 …

… In addition, with the aid of F -Gorenstein dimensions, we obtain an equivalent condition for
the finitistic dimension conjecture to hold, that is, fin.dim Λ < ∞ for all artin algebras Λ if and …