POOR MODULES: THE OPPOSITE OF INJECTIVITY

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

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

  • 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
  • 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.