Injective Modules over Strong Mori Domains

• Autores: H. Kim, E.S. Kim, Y. S. Park
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 34, Nº 2, 2008, págs. 349-360
• Idioma: inglés
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• Resumen

  • We show that an integral domain R is a strong Mori domain if and only if any direct sum of co-semi-divisorial injective R-modules is injective. We also show that if M is a nonzero co-semi-divisorial torsion module over a strong Mori domain R with w-dim(R)=1, then the semi-divisorial envelope of M is isomorphic to the direct sum of M localized at P, where P runs over the set of w-maximal ideals of R.