The Igusa-Todorov distances of an Artin algebra give a reasonable way of measuring how
far an algebra is from being Igusa-Todorov algebras. We show that the Igusa-Todorov …

Auslander-type conditions and cotorsion pairs Page 1 Journal of Algebra 318 (2007) 93–110
www.elsevier.com/locate/jalgebra Auslander-type conditions and cotorsion pairs Zhaoyong …

Let Λ (0, 0)=(AANBBMAB) be a Morita ring which is an Artin algebra and has zero bimodule
homomorphisms. Assume that AN, NB, MA and BM are projective modules. For any positive …

Tilting theory is known as a powerful tool for studying representation theory of artin algebras.
Though there are no non-trivial tilting modules over sel: finjective algebras, we have a way …

Let A be an artin algebra over a commutative artin ring R and mod A be the category of
finitely generated right A-modules. A cycle in mod A is a sequence of non-zero non …

In this paper, we present some results on the bounded derived category of Artin algebras,
and in particular on the indecomposable objects in these categories, using homological …

Let Λ be an artin algebra and X be a quasi-resolving subcategory of mod-Λ which is of finite
type. Let SX (Λ) be the full subcategory of the morphism category H (Λ) consisting of all …

For self-injective algebras, Rickard proved that each derived equivalence induces a stable
equivalence of Morita type. For general algebras, it is unknown when a derived equivalence …

We know that the model theory of modules leads to a way of obtaining definable categories
of modules over a ring R as the kernels of certain functors (RM od) op→ A b rather than of …

In this paper, we study the category of finitely generated modules over a class of right 4-
Nakayama artin algebras. This class of algebras appear naturally in the study of …