Lifting Modules: Supplements and Projectivity in Module Theory (Frontiers in Mathematics) by John Clark, Christian Lomp, N. Vanaja and Robert Wisbauer
English | 2006-08-29 | ISBN: 3764375728 | 403 pages | PDF | 2,2 mb
Extending modules are generalizations of injective modules and, dually, lifting modules generalize projective supplemented modules. This duality exhibits a certain asymmetry. While the theory of extending modules is well documented in monographs and text books, the purpose of this monograph is to provide a thorough study of supplements and projectivity conditions needed to investigate classes of modules related to lifting modules.