POOR MODULES: THE OPPOSITE OF INJECTIVITY


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

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

Özet

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.