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 …

In this paper we study adjunction relations between some natural functors on the
representation category of the category of finite linearly ordered sets and order-preserving …

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 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 …

We exploit the equivalence between t-structures and normal torsion theories on a stable
∞∞-category to show how a few classical topics in the theory of triangulated categories, ie …

ON A CLASS OF RATIONALLY COMPLETE RINGS Page 1 Quaestiones Mathematicae - 3(1978),
1-4 ON A CLASS OF RATIONALLY COMPLETE RINGS AR MEIJER ABSTRACT: Rings which …

We prove that if $ R $ is a G-ring then every fully dualizable $ R $-linear cocomplete
category is equivalent to a twist by a $\mathbb {G} _m $-gerbe of the category of modules …

In the present note, we offer a simple characterization of perfect rings in terms of their
components and socle sequences, which is subsequently used to establish a one-to-one …

1. Introduction and preliminaries. This paper deals with a generalization of the concept of
torsion Abelian groups. Our purpose is twofold. On the one hand, we treat the concept of …

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 …