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 …

The purpose of this paper is to indicate that most of noncommutative homological ring theory
generalizes to (pre) additive category theory, as well as to provide some reasons for wanting …

Definable subcategories may be extended along a ring homomorphism directly, by using
their defining conditions in the new module category, or by tensoring up with the new ring …

This is the second part of a study on model theory of modules begun in [RO]. Throughout, I
refer to that paper as “Part I”. I observed there a coincidence between some algebraic and …

Let D be a full subcategory of an abelian category A. We study the relation between the
following properties of the subcategory D.(1) The subcategory D is contravariantly finite in …

In [R. Colpi, KR Fuller, Tilting objects in abelian categories and quasitilted rings, Trans.
Amer. Math. Soc., in press] tilting objects in an arbitrary abelian category H are introduced …

Torsion theories, introduced in [4], have become a widespread and effective tool of
contemporary theory of rings and modules. In [8], a generaHzation of the notion of a torsion …

This work results from a study of Nicholas Kuhn's paper entitled" Generic representation
theory of finite fields in nondescribing characteristic". Our goal is to abstract the categorical …

This is a survey paper, based on lectures given at the Workshop on" Structured ring spectra
and their applications" which took place January 21-25, 2002, at the University of Glasgow …

Let V be a ring and m an ideal of V such that xrt2= m. The V-modules killed by m are the
object of a (full) Serre subcategory Z of the category V-Mod of all V-modules, and the …