POOR MODULES: THE OPPOSITE OF INJECTIVITY

---

Alahmadi A. N., ALKAN M., Lopez-Permouth S.

GLASGOW MATHEMATICAL JOURNAL, vol.52A, pp.7-17, 2010 (SCI-Expanded, Scopus)

• Publication Type: Article / Article
• Volume: 52A
• Publication Date: 2010
• Doi Number: 10.1017/s001708951000025x
• Journal Name: GLASGOW MATHEMATICAL JOURNAL
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.7-17
• Open Archive Collection: AVESIS Open Access Collection
• Akdeniz University Affiliated: Yes

Abstract

A module M is called poor whenever it is N-injective, then the module N is semisimple. In this paper the properties of poor modules are investigated and are used to characterize various families of rings.