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 …

We introduce the new concept of silting modules. These modules generalize tilting modules
over an arbitrary ring, as well as support-tilting modules over a finite dimensional algebra …

We generalize basic results about classical tilting modules and partial tilting modules to the
infinite dimensional case, over an arbitrary ring R. The methods employed combine classical …

Recollements of derived module categories are investigated, using a new technique,
ladders of recollements, which are maximal mutation sequences. The position in the ladder …

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 …

A (right $ R $-) module $ N $ is said to be a Whitehead test module for projectivity (shortly: a
p-test module) provided for each module $ M $, $ Ext_R (M, N)= 0$ implies $ M $ is …

We classify all tilting and cotilting classes over commutative noetherian rings in terms of
descending sequences of specialization closed subsets of the Zariski spectrum …

Given two ringsRandS, we study the category equivalences T⇄ Y, where T is a torsion class
ofR-modules and Y is a torsion-free class ofS-modules. These equivalences correspond to …

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 …

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 …