Lifting Modules Supplements and Projectivity in Module Theory /

• Main Authors: Clark, John (Author), Lomp, Christian (Author), Vanaja, Narayanaswami (Author), Wisbauer, Robert (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2006.
• Series: Frontiers in Mathematics,
• Subjects: Mathematics.; Algebra.

Extending modules are generalizations of injective modules and, dually, lifting modules generalize projective supplemented modules. There is a certain asymmetry in this duality. While the theory of extending modules is well documented in monographs and text books, the purpose of our monograph is to...

Table of Contents:

• Basic notions
• Preradicals and torsion theories
• Decompositions of modules
• Supplements in modules
• From lifting to perfect modules.