On qdf modules and qdf rings

• Autores: Mohammad Saleh
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 30, Nº 3, 2004, págs. 629-636
• Idioma: inglés
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• Resumen

  • The purpose of this paper is to further the study of weakly injective and weakly tight modules a generalization of injective modules. A right R-module M is said to be weakly tight ( tight) if every finitely generated submodule N of its injective hull E(M) is embeddable in a direct sum of copies of M (is embeddable in M). For some classes K of modules , we study when direct sums of modules from K are weakly tight, tight , weakly injective. In particular, we get necessary and sufficient conditions for sum -weak tightness of the injective hull of a simple module.