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POOR MODULES: THE OPPOSITE OF INJECTIVITY

  • ADEL N. ALAHMADI (a1), MUSTAFA ALKAN (a2) and SERGIO LÓPEZ-PERMOUTH (a3)
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.

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References
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Glasgow Mathematical Journal
  • ISSN: 0017-0895
  • EISSN: 1469-509X
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