Let R be a ring, see below for other notation. The functor categories (mod-R, Ab) and ((R-
mod) op, Ab) have received considerable attention since the 1960s. The first of these has …

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 …

Cartan and Eilenberg [1, p. 961 call a functor T of several variables right balanced if T
becomes an exact functor of the remaining variables when any covariant variable is …

Let R be a ring, F an X-generated free R-module,/i= EndR (F). If K is finite, then, 4 and R are
Morita equivalent and so have the same weak and global dimensions. If x is infinite …

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 …

Introduction. For a ring S, let FPD (S) denote the right finitistic projective dimension of S, that
isr the supremum of the finite projective dimensions of right S-modules. If S is a projective …

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 …

Let R be a ring with 1# 0. R-Mod (resp. Mod-R} denotes the category of left (resp. rrght) R-
modules. Throughout the entrre article full subcategories of R-Mod (resp. Mod-R) will be …

A ring for which every finitely generated right ideal is finitely presented is called a right
coherent ring. Such rings were first studied by Chase i4] as a generalization of right …

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 …