In this note we show that two finite dimensional algebras have the same representation type
if they are stably equivalent of Morita type. Stable equivalences of Morita type were …

There is a long record on the close relation between the representation theory of finite-
dimensional algebras with finite global dimension and the respective Euler form, starting …

We investigate when an exact functor F≅−⊗ ΛMΓ: mod-Λ→ mod-Γ which induces a stable
equivalence is part of a stable equivalence of Morita type. If Λ and Γ are finite dimensional …

In the representation theory of finite groups, the stable equivalence of Morita type plays an
important role. For general finite-dimensional algebras, this notion is still of particular …

Broué's abelian defect conjecture [Astérisque 181/182 (1990) 61–92, 6.2] predicts for a p-
block of a finite group G with an abelian defect group P a derived equivalence between the …

Given two finite dimensional algebras Λ and Γ, it is shown that Λ is of wild representation
type if and only if Γ is of wild representation type provided that the stable categories of finite …

In this paper, we provide a new method to produce stable equivalences of Morita type. Our
main results can be stated as follows. Let A and B be two finite‐dimensional k‐algebras over …

Throughout, by an algebra we mean a basic connected, finite-dimensional associative K-
algebra with 1 over an algebraically closed field K. By a module over an algebra A we mean …

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 …

Let Λ and Γ be finite dimensional algebras. It is shown that any stable equivalence f: mod¯
Λ→ mod¯ Γ between the categories of finitely generated modules induces a bijection M↦ M f …