… algebra A and a particular type of ordering of its simple modules is a naturally defined tilting
module whose endomorphism … difficult to see that the finitistic injective dimension of A is zero …

… which the left and right finitistic dimensions of O differ, and one in which O has infinite global
… In case Ωn(M) has a decomposition into modules with local endomorphism rings, this latter …

… Finitistic Dimension Conjecture is one of the main open problems in the representation theory
of algebras. It … Finally, we prove that the finitistic dimension is bounded by the homological …

… with the endomorphism ring of a projective module over a hereditary or semihereditary
ring. More specifically we consider the question of when such an endomorphism ring is …

… It is worth noting that in the literature “monomial algebra” sometimes means a path algebra
… classes offinite dimensional algebras because being a monomial algebra is not an algebra …

… of algebras called Igusa–Todorov algebras which were introduced in relation to the finitistic
dimension … In this section, we compare an algebra and its endomorphism algebra from the …

… Since the left- and right-global dimensions of a semiprimary ring coincide, we can use the
… Bass~ "Finitistic dimension and a homological generalization of semiprimary rings," Trans. …

… finitistic dimension of some given algebra. The reader could look in [32], [49], and references
therein, for the development related with the finitistic dimension … local endomorphism rings. …

… algebras are gendo-symmetric algebras, which means endomorphism algebras of generators
of symmetric algebras, … characterization of dominant dimension for the algebras in terms of …

… result that characterizes the finite dimensional vector spaces (a … ) endomorphism of M is an
automorphism of M, and we say that M satisfies the property (F), if for each endomorphism f of …