On Finite Range Stable-Type Concentration

On Stable Equivalences of Morita Type for Finite Dimensional Algebras

In this paper, we assume that algebras are finite dimensional algebras with 1 over a fixed field k and modules over an algebra are finitely generated left unitary modules. Let A and B be two algebras (where k is a splitting field for A and B) with no semisimple summands. If two bimodules AMB and BNA induce a stable equivalence of Morita type between A and B, and if N⊗A− maps any simple A-module...

Stable Calabi-yau Dimension for Finite Type Selfinjective Algebras

We show that the Calabi-Yau dimension of the stable module category of a selfinjective algebra of finite representation type is determined by the action of the Nakayama and suspension functors on objects. Our arguments are based on recent results of C. Amiot, and hence apply more generally to triangulated categories having only finitely many indecomposable objects. Throughout, k is an algebraic...

On finite substructures of certain stable structures

On binary operations with finite external range

J. Martin, G . Mayor and J. Sufier Dept. of Mathematics and Computer Science University of the Balearic Islands 07071-Palma de Mallorca. Spain {javier.martin,gmayor jaume.sunyer)@uib.es In this paper, a new approach to the study of binary operations is shown. After introducing the concept of external range, some results concerning the class of continuous binary operations with finite external r...

On Stable Equivalences of Morita Type between Representation-finite Selfinjective Algebras

Throughout this paper k denotes an algebraically closed field, and all algebras considered here are assumed to be basic, connected, finite-dimensional k-algebras with identity. For an algebra Λ, we denote by modΛ and by modΛ the category of finitedimensional (right) Λ-modules and its stable category, respectively. Recall that for two algebras Λ and Π, an equivalence modΛ → modΠ is called a stab...