References Page 1 References [1] S. Abhyankar, S. Wiegand, On the compositum of two power
series rings, Proc. Amer. Math. Soc. 112 (1991), 629 – 636. [2] U. Albrecht, Endomorphism …

Module theory provides a general framework for the study of linear representations of
various mathematical objects. For example, given a field K, representations of a quiver Q …

This book provides a unified approach to much of the theories of equivalence and duality
between categories of modules that has transpired over the last 45 years. In particular …

Precovers and preenvelopes were introduced in the early eighties by Enochs [48] and,
independently, by Auslander and Smalø [16]. Enochs gave a general definition in terms of …

We show that the two classes of reflexive modules with respect to a cotilting bimodule fail to
be closed under submodules. More precisely, we show that any generalized Kronecker …

Over an arbitrary ring, we consider cotilting modules endowed with some finiteness
conditions. We show that they correspond to pairs of dualities between certain cat-egories …

Let R and S be arbitrary associative rings. Given a bimodule RWS, we denote by Δ? and Γ?
the functors Hom?(−, W) and Ext1?(−, W), where?= R or S. The functors ΔR and ΔS are right …

Tilting modules generalize projective generators and may be characterized either by
weakened generating and projectivity conditions or else by equivalences they define …

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 …

Let A be an Artin algebra. As we know, the construction of the well-known Auslander-Reiten
sequence is based on the natural (A, A)-bimodule A and the induced transpose, where the …