Adic-completion and some dual homological results

• Autores: Anne-Marie Simon
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 36, Nº 2, 2, 1992 (Ejemplar dedicado a: la memória de Pere Menal i Brufal), págs. 965-979
• Idioma: inglés
• DOI: 10.5565/publmat_362b92_14
• Títulos paralelos:
  • Compleción ádica y algunos resultados homológicos duales
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• Resumen

  • Let a be an ideal of a commutative ring A. There is a kind of duality between the left derived functors Uia of the a-adic completion functor, called local homology functors, and the local cohomology functors Hai.

    Some dual results are obtained for these Uia, and also inequalities involving both local homology and local cohomology when the ring A is noetherian or more generally when the Ua and Ha-global dimensions of A are finite.