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The main focus of this monograph is to offer a comprehensive
presentation of known and new results on various generalizations of
CS-modules and CS-rings. Extending (or CS) modules are
generalizations of injective (and also semisimple or uniform)
modules. While the theory of CS-modules is well documented in
monographs and textbooks, results on generalized forms of the CS
property as well as dual notions are far less present in the
literature. With their work the authors provide a solid background
to module theory, accessible to anyone familiar with basic abstract
algebra. The focus of the book is on direct sums of CS-modules and
classes of modules related to CS-modules, such as relative
(injective) ejective modules, (quasi) continuous modules, and
lifting modules. In particular, matrix CS-rings are studied and
clear proofs of fundamental decomposition results on CS-modules
over commutative domains are given, thus complementing existing
monographs in this area. Open problems round out the work and
establish the basis for further developments in the field. The main
text is complemented by a wealth of examples and exercises.
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