Abstract: Continuity and quasicontinuity for modules may be viewed as generalizations of quasi-injectivity. A key property of quasi-continuous modules is that complements are summands. Modules with this special property are called extending modules or C1 modules. We investigate decomposition properties of dual-extending (D1) modules, those modules which are supplemented and for which each supplement is a summand. The notions of hollowness and dual Goldie dimension play a prominent role. Our results are analogous to results for extending modules developed by Camillo and Yousif.
Publication Year: 1997
Publication Date: 1997-01-01
Language: en
Type: book-chapter
Indexed In: ['crossref']
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