… dimension for artin algebras. As a consequence we obtain a short proof of the finitistic global
dimension conjecture for radical cubed zero algebras. The same condition also holds for …

… , we work on artin algebras and finitely … dimension, is contravariantly finite. However, Igusa,
Smalø, and Todorov [11] provided an example of artin algebras of finite finitistic dimension …

… algebras to investigate the finitistic dimension conjecture. In this way we obtain a large class
of algebras for which the finitistic dimension … are: (1) Let A be an artin algebra and let I j ,1⩽j…

… Let A be an Artin algebra and e be an … dimension at most three, then the finitistic dimension
of eAe is finite, and deduce that if quasi-hereditary algebras have representation dimensions …

… In this paper, we study the finitistic dimensions of artin algebras by establishing a relation…
the global dimensions of the given algebras, on the one hand, and the finitistic dimensions of …

… By an Artin algebra Λ, we will always mean an Ralgebra Λ over a base commutative
Artinian ring R which moreover has finite length as an R-module. We let Mod Λ stand for the …

… Also, we prove the following result: Let I, J, K be three ideals of an Artin algebra A such that
IJK = 0 and K ⊇ rad ( A ) . If both A/I and A/J are A-syzygy-finite, then the finitistic dimension …

… artin algebras with representation dimension at most 3, Igusa and Todorov [IT] have shown
that the finitistic dimension of these algebras … We consider an artin algebra Λ with duality …

… an artin algebra, Gélinas has introduced an interesting upper bound for the finitistic dimension
… We assert that fin-pro A = del A for any Nakayama algebra A. This yields also a new proof …

… Throughout this paper, let A be an Artin algebra. We denote by A-mod the category of all
finitely generated left A-modules and P(A) the subcategory of projective A-modules. Given an A-…