Module Theory, Extending Modules and Generalizations

• Main Authors: Tercan, Adnan (Author), Yücel, Canan C. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Springer Basel : Imprint: Birkhäuser, 2016.
• Series: Frontiers in Mathematics,
• Subjects: Mathematics.; Associative rings.; Rings (Algebra).; Associative Rings and Algebras.

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 docume...

Table of Contents:

• Preface
• Introduction
• List of Symbols
• Introducing modules.- Types of Relative Injectivity.- Extending Property and Related Concepts.- Inner Generalizations of Extending Modules.- Outer Generalizations of Extending Modules.- Dual Goldie and EC-complement Versions of the Extending Property.- Open Problems and Questions
• Appendix
• References
• Index.