ABSTRACT
This chapter considers the finite dimensional algebras of finite representation type. For right Artinian rings one can introduce the notion of a ring of finite representation type. For finite dimensional algebras along with the notion of finite representation type there is also the notion of bounded representation type. In it will be shown that any finite dimensional algebra of finite representation type is a semidistributive ring. The structure of Artinian semidistributive hereditary rings of finite representation type is given in. K. Yamagata not only gave a module-theoretical simple proof of this theorem, he also showed in his paper how to construct all indecomposable modules from simple modules over an Artinian ring of finite representation type. The chapter deals with the Auslander theorem. In, Kunio Yamagata not only gave a simpler proof of this theorem, he also showed how to construct all indecomposable modules from simple modules over an Artinian ring of finite representation type.
