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 …

Global dimensions for endomorphism algebras of tilting modules Page 1 Global dimensions
for endomorphism algebras of tilting modules By S. GASTAMINZA, D. HAPPEL, MI PLATZECK …

In this paper, we compare the representation dimensions of two algebras linked by certain
tilting modules. Our main results can be stated as follows: Suppose T is a tilting module over …

The finiteness of the little finitistic dimension of an artin algebra R is known to be equivalent
to the existence of a tilting R-module T such that [Formula: see text] where P<∞ is the …

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 …

We consider algebras Λ which satisfy the property that for each indecomposable module ΛX,
either its projective dimension pd ΛX is at most one or its injective dimension id ΛX is at most …

We prove that a finite dimensional algebra is τ-tilting finite if and only if it does not admit
large silting modules. Moreover, we show that for a τ-tilting finite algebra A there is a …

We characterize the tilted algebras of the form kQ/I where the underlying graph of Q is Dn. 1.
Introduction. Let k be an algebraically closed field. By an algebra, we mean a finite …

We consider the algebras Λ which satisfy the property that for each indecomposable module
X, either its projective dimension pd Λ X is at most one or its injective dimension id Λ X is at …

Given a finite dimensional algebra A over an algebraically closed field we study the
relationship between the powers of the radical of a morphism in the module category of the …