… the endomorphism-ring R of a fully faithful module X over an arbitrary algebra A is QF-3 and
that every QF-3 algebra … It is an old conjecture that the finitistic global projective dimension of …

… endomorphism ring if and only if it is a finite direct sum of modules each of which has a
local endomorphism … For all notions of homological algebra the reader is referred to [3]. This …

… A pair of examples show that the above theorem with the modification for countably generated
ideals having dimension ok is best possible: Let R be a free Boolean algebra on a set of …

… inequality for global dimensions of these endomorphism algebras. This … dimensions of
algebras, or the global dimensions of … Recall that the finitistic dimension of an Artin algebra A is by …

… having length d over their endomorphism rings. Finally, has … to determine the big finitistic
dimension, a notorious quandary … , we present a finite-dimensional monomial relation algebra …

… Then the small finitistic dimension of R is defined as fPD ( R ) = sup { pd R M | M ∈ F P R ( R
… Moreover, we introduce the concepts of FT-flat modules and the global FT-flat dimension of …

… of a fiat R-module of finite exterior rank admitting a surjective endomorphism which is not
injective. … Weare regarding S as a k-subalgebra of S as well as a quotient algebra via h, S S. …

… In this survey we discuss the results on the finitistic dimension of various stratified algebras.
… The endomorphism algebra R = EndA(T) of the characteristic tilting module T is called the …

… closely related to one of the finitistic projective and weak dimensions of the classical ring Q
of … We consider three distinct versions of torsion-freeness, three finitistic dimensions of Q, and …

… the finitistic dimension conjecture. The main result of that paper is that any Artin algebra, …
direct sum of indecomposable objects with local endomorphism rings, and furthermore such a …