We introduce the class of double tilted algebras, containing the class of tilted algebras and
prove various characterizations. In particular, we show that the class of double tilted …

Let A be an artin algebra over a commutative artin ring R and ind A the category of
indecomposable finitely generated right A-modules. Denote L _A to be the full subcategory …

For classes of algebras defined in nonhomological terms it is often of interest to look for a
homological description. For example the Auslander algebras, that is the algebras which are …

We provide an affirmative answer for the question raised almost 20 years ago in Reiten et
al.(Proc. Am. Math. Soc. 117: 343–354, 1993) concerning the characterization of tilted artin …

Let A be an artin algebra. We are interested in studying the representation theory of A, thus
the category mod A of finitely generated right A-modules. For this purpose, we fix a full …

We generalize tilting with respect to a tilting module of projective dimension at most one for
an Artin algebra to tilting with respect to a torsion pair in an Abelian category. Our …

Let A be a basic connected finite-dimensional algebra over an algebraically closed field. We
show that if A has all its indecomposable projectives (or injectives) lying in a component of …

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 …

We study the class of algebras A satisfying the property: all but at most finitely many non-
isomorphic indecomposable A-modules are such that all their predecessors have projective …

Abstract top An artin algebra A over a commutative artin ring R is called quasitilted if gl. dim
A≤ 2 and for each indecomposable finitely generated A-module M we have pd M≤ 1 or id …