“School of Mathematics”
Back to Papers HomeBack to Papers of School of Mathematics
| Paper IPM / M / 498 |
|
||||
| Abstract: | |||||
|
Let R be a commutative ring. Let M respectively A denote a
Noetherian respectively Artinian R-module, and \fraka a
finitely generated ideal of R. The main result of this note is
that the sequence of sets (AttRTorR1((R/\frakan),A))n ∈ \mathbbN is
ultimately constant. As a consequence, whenever R is Noetherian,
we show that AssR Ext1R((R/\frakan),M)
is ultimately constant for large n, which is an affirmative
answer to the question that was posed by Melkersson and Schenzel
in the case i=1.
Download TeX format |
|||||
| back to top | |||||
