Extending modules are generalizations of injective modules and, dually, lifting modules
generalize projective supplemented modules. There is a certain asymmetry in this duality …

Page 1 Modern Birkhäuser Classics Alberto Facchini Module Theory Endomorphism rings and
direct sum decompositions in some classes of modules S. Birkhäuser Page 2 US Birkhäuser …

Eine abelsche Gruppe A hei& nach Baer [I] Minimaxgruppe, wenn sie “eine noethersche
Untergruppe B mit artinscher Faktorgruppe A/B besitzt.” Entsprechend wollen wir einen R …

In this paper we carry out a systematic study of various ring theoretic properties of formal
triangular matrix rings. Some definitive results are obtained on these rings concerning …

In this paper we carry out a systematic study of modules over a formal triangular matrix ring
[Formula: see text] Using the alternative description of right T-modules as triples (X, Y) f with …

It is well-known that a ring R is semiperfect if and only if RR (or RR) is a supplemented
module. Considering weak supplements instead of supplements we show that weakly …

Approach your problems from the right end It isn't that they can't see the solution. It is and
begin with the answers. Then one day, that they can't see the problem. perhaps you will find …

This book surveys more than 125 years of aspects of associative algebras, especially ring
and module theory. It is the first to probe so extensively such a wealth of historical …

We answer a question posed by Warfield in 1975: the Krull-Schmidt Theorem does not hold
for serial modules, as we show via an example. Nevertheless we prove a weak form of the …

An R-module M is called coretractable if HomR (M/K, M)≠ 0 for any proper submodule K of
M. In this paper we study coretractable modules and their endomorphism rings. It turns out …