Prime divisors of powers of ideals in some Laskerian rings (Q1176710)

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scientific article; zbMATH DE number 12409
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Prime divisors of powers of ideals in some Laskerian rings
scientific article; zbMATH DE number 12409

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    Prime divisors of powers of ideals in some Laskerian rings (English)
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    25 June 1992
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    \textit{M. Brodman} [Proc. Am. Math. Soc. 74, 16-18 (1979; Zbl 0372.13010)] has shown that for any proper ideal \(I\) of a Noetherian ring \(R\), there exists a positive integer \(m\) depending on \(I\) so that \(\text{Ass}(R/I^ n)=\text{Ass}(R/I^ m)\) for all \(n\geq m\). It is not known whether this holds for Laskerian rings. In this note it is shown that Broadman's result holds for a certain class of strongly Laskerian rings.
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    strongly Laskerian rings
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