Short modules and almost noetherian modules

• Autores: G. Bilhan, P. F. Smith
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 98, Nº 1, 2006, págs. 12-18
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • It is proved that, for any ring R, a right R-module M has the property that, for every submodule N, either N or M/N is Noetherian if and only if M contains submodules K⊇L such that M/K and L are Noetherian and K/L is almost Noetherian.