… finitistic dimension and both dimension are at least two. We call such algebras finitistic
Auslander algebras. … known results about Auslander-Gorenstein algebras and higher Auslander …

… Let A be an artin algebra, Gélinas has introduced an interesting upper bound for the
finitistic … As we will see in 4.4, the bijections h z can be described in terms of the Auslander-Reiten …

… to see that the finitistic injective dimension of A is zero if and only if A contains all simple A-modules,
eg A is a local ring. Suppose A is not selfinjective with finitistic injective dimension of …

… that the finitistic dimension conjecture holds for all artin algebras if … In this note, we will
continue the study of the finitistic … Recall that an Auslander generator over the artin algebra A is a …

… –Todorov algebras and thus obtain many algebras such that the finitistic dimension conjecture
… of 2-Igusa–Todorov algebras is closed under taking endomorphism algebras of projective …

… Assume that AV is an Auslander generator and M … finitistic dimension conjecture and all
the above conjectures hold for artin algebras which can be realized as endomorphism algebras …

… are finitely generated over an artin algebra L!. We denote by … 1 for definitions) were
introduced in [8,9] by Auslander and … these observations we get a very wide variety of algebras A …

… Let A be an Artin algebra. The famous finitistic dimension conjecture says that there exists a
… Motivated by a result of Auslander, which states that every Artin algebra B is of the form eAe …

… In 1957 Auslander and Buchsbaum [AB] proved that for a … finitistic dimension conjecture for
finite dimensional algebras which are monomial algebras (also called zero relation algebras), …

… theory and homological algebra. Further, … algebras induced from Auslander–Reiten
sequences. In particular, we not only extend and amplify Happel's reduction techniques for finitistic …