… We consider an artin algebra Λ with duality functor D. Usually, we will consider left Λ-modules
of finite length and call them just modules. Always, morphisms will be written on the …

… In Section 4 we investigate the representation dimensions of algebras and their factor algebras
… consider the relationship of the representation dimension and the global dimension of an …

… Algebras I+’ Roiter in [51 showed that an artin algebra A is of finite representation type if
the lengths of the finitely generated indecomposable A-modules is bounded. result in the …

… artin algebra has representation dimension at most 3, thus equal to 3 in case it is representation…
minimal generator-cogenerator usually has global dimension 3, the only exceptions are …

… the occurrence of Krull dimension two in the tame hereditary case (15) . The aim of this
paper is to determinethe Krull dimension of A-mod for further classes of tame Artin algebras. …

… representation dimension of the following classes of algebras is at most 3: (a) Artin algebras
A … These algebras coincide with the right (left) glued algebras, as introduced in [I. Assem, FU …

… In this chapter we discuss the main methods in the representation theory of artin algebras.
We give many of the central theorems along the way, and try to indicate ideas of proofs in …

… generated /z-algebra. Denote by rt,, the Krull dimension of the space of irreducible
representations of A of dimension n (cf. Section 9). Is there a reasonable asymptotic behavior of d,? …

… ’s representation dimension of Artin algebras, which is by definition the minimal projective
dimension of … statements: (1) if an Artin algebra A is stably hereditary, then the representation …

… In this paper we study these constructions when /i is an artin algebra and G a finite group
of order n such that n is invertible in /1. Under these assumptions the construction preserves …