Let A be an artin algebra, mod A the category of all finitely generated right A-modules, and
ind A the full subcategory of mod A consisting of the indccomposablcs. Auslander and …

The preprojective and the preinjective partitions for an artin algebra A were defined by M.
Auslander and S. Smal@[? I. Let A be an artin algebra, let mod A be the category of finitely …

Let Λ be an artin algebra, that is, an artin ring that is a finitely generated module over its
center C which is also an artin ring. We denote by mod Λ the category of finitely generated …

An artin algebra A is said to be equivalent to an algebra A'modulo preprojectives up to the
level n if the categories mod A/add pn (A) and mod A1/add~(A'I are equivalent, Necessary …

Let A be an artin algebra, let mod A be the category of finitely generated left A-modules and
let ind A be a full subcategory of mod A of chosen representatives of the indecomposable A …

In this paper we shall give a rather simple description of a special class of finite dimensional
algebras which has recently been shown in [8] to be of interest in representation theory. In …

Let A be an artin algebra over a commutative artin ring R, D the self-duality functor of a
category of finitely generated A-modules defined by D (X)= HornR (X, E (R/R~~(R)) 1, where …

If $\Lambda $ is an artin algebra there is a partition of $\operatorname {ind}\Lambda $, the
category of indecomposable finitely generated $\Lambda $-modules, $\operatorname …

Let A be a connected basic hereditary artin algebra, then the center of A is a field k, and A is
a finite dimensional k-algebra9 We will consider the category of finite by generated left …

Let A be an artin algebra over a commutative artm nng R. The A-modules which we consider
are always left modules of finite length. The category of (finite length) A-modules is denoted …