This volume provides a comprehensive introduction to module theory and the related part of
ring theory, including original results as well as the most recent work. It is a useful and …

Continuous and discrete modules are, essentially, generalizations of infective and projective
modules respectively. Continuous modules provide an appropriate setting for decomposition …

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 …

An associative ring R with identity is semiperfect if and only if every element of R is a sum of
a unit and an idempotent, and R contains no infinite set of orthogonal idempotents. A ring …

A module is extending (or CS, C1) if every complement submodule is a direct summand or,
equivalently, every submodule is essential in a direct summand. The terms extending and …

A ring R is said to be clean if every element of R is a sum of an idempotent and a unit. The
class of clean rings is quite large and includes, for instance, semiperfect rings (and thus …

The themes of cancellation, internal cancellation, substitution and exchange have led to a lot
of interesting research in the theory of modules over commutative and noncommutative …

Quasi-Frobenius rings and Nakayama rings were introduced by T Nakayama in 1939. Since
then, these classical artinian rings have continued to fascinate ring theorists with their …

Automorphism-invariant modules Page 30 Contemporary Mathematics Volume 634 , 2015
http://dx. doi. org/10.1090/conm/634/12688 Automorphism-Invariant Modules Pedro A. Guil …