By Adnan Tercan,Canan C. Yücel
The major concentration of this monograph is to provide a accomplished presentation of recognized and new effects on a number of generalizations of CS-modules and CS-rings. Extending (or CS) modules are generalizations of injective (and additionally semisimple or uniform) modules. whereas the idea of CS-modules is easily documented in monographs and textbooks, effects on generalized sorts of the CS estate in addition to twin notions are a long way much less found in the literature.
With their paintings the authors supply a pretty good historical past to module idea, available to someone accustomed to uncomplicated summary algebra. the point of interest of the booklet is on direct sums of CS-modules and sessions of modules concerning CS-modules, similar to relative (injective) ejective modules, (quasi) non-stop modules, and lifting modules. specifically, matrix CS-rings are studied and transparent proofs of primary decomposition effects on CS-modules over commutative domain names are given, hence complementing current monographs during this area.
Open difficulties around out the paintings and identify the root for additional advancements within the box. the most textual content is complemented through a wealth of examples and exercises.