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A characterization of representation-finite biserial algebras over a perfect field

CONTENTS1. Introduction.........................................................................................51. The structure of distributive biserial algebras.....................................72. Almost multiplicity-free modules........................................................153. One point extension..........................................................................194. Representation-finite biserial algebras with the (S)-condition...........315. Representation-finite biserial...

Algebras stably equivalent to trivial extensions of hereditary algebras of type à n

Zygmunt Pogorzały — 1993

Colloquium Mathematicae

The study of stable equivalences of finite-dimensional algebras over an algebraically closed field seems to be far from satisfactory results. The importance of problems concerning stable equivalences grew up when derived categories appeared in representation theory of finite-dimensional algebras [8]. The Tachikawa-Wakamatsu result [17] also reveals the importance of these problems in the study of tilting equivalent algebras (compare with [1]). In fact, the result says that if A and B are tilting...

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