Timeline for What is the "strongest" non-local property of a ring/module that is true of all localizations at maximal ideals?
Current License: CC BY-SA 3.0
12 events
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| Oct 25, 2011 at 1:57 | comment | added | Paul Balmer | Tres joli, une fois! | |
| Oct 24, 2011 at 8:05 | comment | added | Georges Elencwajg | Dear Sándor, when I went to my computer this morning to edit my answer, because I had realized that my equidimensionality remark yielded a stronger property $P_d$ valid exactly at the maximal ideals, I noticed your remark to that effect. Nice convergence, that! | |
| Oct 24, 2011 at 8:00 | comment | added | Georges Elencwajg | Dear Chuck, no need to apologize: it is perfectly legitimate for you to require the most interesting and strongest answer! It's another matter with the answerer... | |
| Oct 24, 2011 at 7:56 | history | edited | Georges Elencwajg | CC BY-SA 3.0 |
Added property P_d
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| Oct 24, 2011 at 2:38 | comment | added | Sándor Kovács | A more general version of this would be "having dimension at least $d$" for some positive $d$. | |
| Oct 24, 2011 at 0:35 | comment | added | Chuck | That was stupid of me, apologies | |
| Oct 23, 2011 at 18:38 | comment | added | Georges Elencwajg | Dear Chuck, I have added a class of non-local examples in an edit. Needless to say, however, I will never write an answer claiming that it contains "the most interesting/strongest " property, example,... in any subject whatsoever. | |
| Oct 23, 2011 at 17:58 | history | edited | Georges Elencwajg | CC BY-SA 3.0 |
added non local example.
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| Oct 23, 2011 at 17:11 | comment | added | Chuck | Thanks for this Georges - I considered local rings too just to make sure that there is such a P as the one I am asking about. I would like to know about more interesting non-local P's with the maximal property though - the question was about the most 'interesting/strongest (i.e. local-flavoured)' non-local P for which this holds. I actually can't think of any (non-trivial ones) for a non-local ring, which is why I asked the question. | |
| Oct 23, 2011 at 13:28 | history | edited | Georges Elencwajg | CC BY-SA 3.0 |
added 8 characters in body
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| Oct 23, 2011 at 13:14 | history | edited | Georges Elencwajg | CC BY-SA 3.0 |
Replaced "integral ring" by "domain"
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| Oct 23, 2011 at 12:55 | history | answered | Georges Elencwajg | CC BY-SA 3.0 |