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Name of preprint while this is on the front page
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LSpice
LSpice
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With regards to the original question -— I don't have any good ideas, probably valuation rings satisfy this (but they are not generally Noetherian except in the cases already outlined).

With regards to other classes of ideals that satisfy this (now in characteristic zero), the ideals of ``unions“unions of log canonical centers''centers” satisfy this property in characteristic zero (this is mostly due to a result of Florin Ambro I think). See for example this preprintAmbro - Basic properties of log canonical centers.

With regards to the original question - I don't have any good ideas, probably valuation rings satisfy this (but they are not generally Noetherian except in the cases already outlined).

With regards to other classes of ideals that satisfy this (now in characteristic zero), the ideals of ``unions of log canonical centers'' satisfy this property in characteristic zero (this is mostly due to a result of Florin Ambro I think). See for example this preprint.

With regards to the original question — I don't have any good ideas, probably valuation rings satisfy this (but they are not generally Noetherian except in the cases already outlined).

With regards to other classes of ideals that satisfy this (now in characteristic zero), the ideals of “unions of log canonical centers” satisfy this property in characteristic zero (this is mostly due to a result of Florin Ambro I think). See for example Ambro - Basic properties of log canonical centers.

replaced the link to the arXiv front end; see https://meta.mathoverflow.net/questions/5124/is-it-time-to-replace-links-to-the-ucdavis-arxiv-frontend
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Martin Sleziak
Martin Sleziak
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With regards to the original question - I don't have any good ideas, probably valuation rings satisfy this (but they are not generally Noetherian except in the cases already outlined).

With regards to other classes of ideals that satisfy this (now in characteristic zero), the ideals of ``unions of log canonical centers'' satisfy this property in characteristic zero (this is mostly due to a result of Florin Ambro I think). See for example this preprintthis preprint.

With regards to the original question - I don't have any good ideas, probably valuation rings satisfy this (but they are not generally Noetherian except in the cases already outlined).

With regards to other classes of ideals that satisfy this (now in characteristic zero), the ideals of ``unions of log canonical centers'' satisfy this property in characteristic zero (this is mostly due to a result of Florin Ambro I think). See for example this preprint.

With regards to the original question - I don't have any good ideas, probably valuation rings satisfy this (but they are not generally Noetherian except in the cases already outlined).

With regards to other classes of ideals that satisfy this (now in characteristic zero), the ideals of ``unions of log canonical centers'' satisfy this property in characteristic zero (this is mostly due to a result of Florin Ambro I think). See for example this preprint.

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Karl Schwede
Karl Schwede
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With regards to the original question - I don't have any good ideas, probably valuation rings satisfy this (but they are not generally Noetherian except in the cases already outlined).

With regards to other classes of ideals that satisfy this (now in characteristic zero), the ideals of ``unions of log canonical centers'' satisfy this property in characteristic zero (this is mostly due to a result of Florin Ambro I think). See for example this preprint.