Asymptotic prime ideals related to derived functors

Melkersson, Leif; Schenzel, Peter

doi:10.1090/S0002-9939-1993-1124148-8

Asymptotic prime ideals related to derived functors

Authors: Leif Melkersson and Peter Schenzel
Journal: Proc. Amer. Math. Soc. 117 (1993), 935-938
MSC: Primary 13E05; Secondary 13A02, 13A30, 13E10
DOI: https://doi.org/10.1090/S0002-9939-1993-1124148-8
MathSciNet review: 1124148
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Abstract: Let be a commutative noetherian ring. Let (resp. ) denote a noetherian (resp. artinian) -module and an ideal of $\left[ R \right]$ . It is shown that for each integer the sets of prime ideals ${\operatorname{Ass} _R}\operatorname{Tor} _i^R(R/{I^n},N)$ and ${\operatorname{Att} _R}\operatorname{Ext} _R^i(R/{I^n},A),\;n = 1,2, \ldots$ , become for large independent of .

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