Some Characterizations of Algebras of Finite Representation Type

摘要

Let A be a finite dimensional,connected,basic algebra over an algebraically closed field.We prove that A is of finite representation type if and only if there is a natural number m such that radm(End(M)) = 0,for any indecomposable A-modules M.This gives a partial answer to one of problems posed by Skowron'ski.