In [8] Sake introduced the notion of a cotorsion pair (A, B) in the category of abelian groups.
But his definitions and basic results carry over to more general abelian categories and have …

For a category, we investigate the problem of when the coproduct⊕ and the product
functor∏ from I to are isomorphic for a fixed set I, or, equivalently, when the two functors …

Over any left and right self-injective ring R the R-dual functors ()* between R-Mod and Mod-
R are exact, and hence so are the double R-dual functors ()** on each of these categories. In …

This paper is mainly concerned with describing the category of all algebraically compact (=
pure-injective) modules. A family of functors from this category to categories of injective …

Contravariantly finite resolving subcategories of the category of finitely generated modules
have been playing an important role in the representation theory of algebras. In this paper …

Let R be a ring, na fixed nonnegative integer and In (Fn) the class of all left (right) R-modules
of injective (flat) dimension at most n. A left R-module M (resp., right R-module F) is called n …

The category of projective functors on a block of the category $\mathcal O (\mathfrak g) $ of
Bernstein, Gelfand and Gelfand, over a complex semisimple Lie algebra $\mathfrak g …

We present applications of contramodule techniques to the Enochs conjecture about covers
and direct limits, both in the categorical tilting context and beyond. In the n-tilting–cotilting …

ABSTRACT A natural generalization of locally noetherian and locally coherent categories
leads us to define locally type FP∞ categories. They include not just all categories of …

The aim of this paper is to advance the study of modules over general integral domains.
Throughout this discussion R will denote an integral domain (not a field), Q its quotient field …