We establish relations between Frobenius parts and between flat-dominant dimensions of
algebras linked by Frobenius bimodules. This is motivated by the Nakayama conjecture and …

The Nakayama conjecture states that an algebra of infinite dominant dimension should be
self-injective. Motivated by understanding this conjecture in the context of derived …

The famous Nakayama conjecture states that the dominant dimension of a non-selfinjective
finite dimensional algebra is finite. Yamagata (Frobenius algebras handbook of algebra, vol …

We study which algebras have tilting modules that are both generated and cogenerated by
projective–injective modules. Crawley–Boevey and Sauter have shown that Auslander …

LetRbe a ring, Pbe a∗-module, andS= EndP. Inspired by the tilting theory, we investigate
relations between the global dimensions gldimRand gldimS, and between the structure of …

The extension dimensions of an Artin algebra give a reasonable way of measuring how far
an algebra is from being representation-finite. In this paper we mainly study the behavior of …

Let Λ and Γ be artin algebras and UΓΛ a faithfully balanced selforthogonal bimodule. We
show that the U-dominant dimensions of UΛ and UΓ are identical. As applications of the …

We study certain special tilting and cotilting modules for an algebra with positive dominant
dimension, each of which is generated or cogenerated (and usually both) by projective …

We find a relationship between the global dimension of an algebra A and the global
dimension of the endomorphism algebra of a τ-tilting module, when A is of finite global …

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