We study a duality between (infinitely generated) cotilting and tilting modules over an
arbitrary ring. Dualizing a result of Bongartz, we show that a module P is partial cotilting iff P …

Let R be a ring and P be an (infinite dimensional) partial tilting module. We show that the
perpendicular category of P is equivalent to the full module category Mod-S where S= End …

1586 COLBY AND FULLER and Ringel [12] obtained an interesting class of algebras of
finite type by calculating the tilting modules and the corresponding tilted algebras. Here we …

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 …

Relative cotilting modules and their connection to ordinary cotilting modules were first
studied by Auslander and Solberg in [6] and [7]. Among other things, they show that relative …

Cotilting modules and bimodules over arbitrary associative rings are studied. On the one
hand we find a connection between reflexive modules with respect to a cotilting (bi) module …

Hereditary Cotilting Modules Page 1 Ž . Journal of Algebra 238, 462478 2001 doi:10.1006rjabr.2000.8621,
available online at http:rrwww.idealibrary.com on Hereditary Cotilting Modules Francesca …

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 …

Recently, tilting and cotilting classes over commutative Noetherian rings have been
classified in [2]. We proceed and, for each n-cotilting class C, construct an n-cotilting module …

We relate the theory of envelopes and covers to tilting and cotilting theory, for (infinitely
generated) modules over arbitrary rings. Our main result characterizes tilting torsion classes …