Tilting modules are an essential tool of representation theory and have been studied by
several authors. In the present paper we state an existence theorem for tilting modules …

We prove that all $ n $-cotilting $ R $-modules are pure-injective for any ring $ R $ and any
$ n\ge 0$. To achieve this, we prove that ${^{\perp _1} U} $ is a covering class whenever $ U …

The notion of cosilting module was recently introduced as a generalization of the notion of
cotilting module. In this paper, we give a characterization of (partial) cosilting modules in …

The structure of tilting modules over valuation domains R is investigated. It is proved that the
S-divisible modules dS introduced by Fuchs-Salce are canonical generators for the tilting …

C. Menini and A. Orsatti [Rend. Sem. Mat. Univ. Padova 82 (1989), 203--231 (1990);
MR1049594 (91h: 16026)] introduced∗-modules in order to characterize equivalences …

SEMIDUALIZING MODULES AND TRIVIAL RING EXTENSIONS Lixin Mao Abstract 1.
Introduction Throughout this paper, R is a commutative a Page 1 L. MAO KODAI MATH. J. 47 …

n-COTILTING MODULES AND PURE-INJECTIVITY Page 1 Bull. London Math. Soc. 36 (2004)
599–612 Cо2004 London Mathematical Society DOI: 10.1112/S0024609304003352 n-COTILTING …

Cotilting Modules Are Pure-Injective Page 1 PROCEEDINGS OF THE AMERICAN
MATHEMATICAL SOCIETY Volume 131, Number 12, Pages 3665-3672 S 0002-9939(03)06938-7 …

However, some aspects of the classical theory can be extended to infinitely generated
modules over arbitrary rings. In this paper, we will consider such an aspect: the relation of …

We study homological behavior of modules satisfying the Auslander condition. Assume that
AC is the class of left R-modules satisfying the Auslander condition. It is proved that each …