LetCbe a commutative artinian ring and Λ an artinC-algebra. The category of coherent
additive functorsA: mod-Λ→ Ab on the finitely presented right Λ-modules will be denoted by …

In representation theory as well as in other topics of ring theory it is convenient to consider
for a ring R the categories (mod R, Ab)=: D (R) and ((mod R) OP, Ab)=: L (R) of additive …

Let A be a locally finitely presented Grothendieck category and let P. gl. dim A denote the
pure global dimension of A (see [12]). A is pure semisimple if P. gl. dim A= 0, or …

Ž. We recall that a ring R with identity is said to be of finite representation type if it is right
artinian and has only finitely many isomorphism Ž. Ž classes of finitely generated …

Let A be a ring with identity. In this paper we examine the relationship between the structure
of A and the category of contravariant (additive) functors from the category of finitely …

Notation: for a ring A, A0 p is the opposite ring of A, Mod (A) is the category of left A-modules,
mod (A) is the category of finitely presented left A-modules, C (A) is the category of coherent …

Throughout, let k be a fixed algebraically closed field. All algebras considered will be finite-
dimensional associative k-algebras with unit element. Given an algebra A, we denote by …

Let A be an Artin algebra. We denote by mod A the category of finitely generated left A-
modules. For XE mod A we denote by pdAX the projective dimension of X. For n CN we …

In various questions in ring theory the followin tegory turns out to be useful (cf.[3-S]). For an
arbitrary ring R let mod R be the category of finitely presented right R-modules (viewed as a …

Tachikawa[8] to study r ings R satisfying the condition (∗): R isar ight artinian ring such that
every finitely generated indecomposable r ight R− module is local. Consider the dual condit …