Given a ring R, denote by mod-R the category of nitely presented right R-modules, the two
functor categories (mod-R, Ab) and ((mod-R) op, Ab) with values in the category Ab of …

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 …

If R is an associative ring with identity, a theory of minimal flat resolutions is developed in the
category ((R-mod) op, Ab) of contravariant functors G:(R-mod) op→ Ab from the category R …

Let C be a skeletally small (pre) additive category. We recall that C-Mod is the category of C-
modules, ie the category of covariant additive functors from C to the category of abelian …

For any left R-module P with endomorphism ring S, the adjoint pair of functors P⊗ S− and
HomR (P,−) induce an equivalence between the categories of P-static R-modules and P …

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3. RESULTS We start by answering negatively the question of Colby and Fuller referred to
above, in the simpler case of abelian categories. EXAMPLE 1. Let~ 2 be the full subcategory …

If R is an artinian OF-3 ring with minimal faithful modules Re and ff (e and f are idempotents
of R) then it was proved in [5] and [14] that the bimodule „fRe, defines a Morita duality. This …

Generalizing an idea used by Bouc, Thévenaz, Webb and others, we introduce the notion of
an admissible R-linear category for a commutative unital ring R. Given an R-linear category …

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 …