Local cohomology, cofiniteness and homological functors of modules.

Autor: Bahmanpour, Kamal
Jazyk: angličtina
Předmět:
Druh dokumentu: Non-fiction
ISSN: 0011-4642
Abstrakt: Abstract: Let I be an ideal of a commutative Noetherian ring R. It is shown that the R-modules H jI (M) are I-cofinite for all finitely generated R-modules M and all j 0 if and only if the R-modules Ext iR (N,H jI (M)) and Tor iR (N, H jI (M)) are I-cofinite for all finitely generated R-modules M, N and all integers i, j 0.
Databáze: Katalog Knihovny AV ČR
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