Timeline for Property of a commutative ring that is determined by the prime ideals of the ring
Current License: CC BY-SA 4.0
20 events
| when toggle format | what | by | license | comment | |
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| S Jan 24 at 9:25 | history | suggested | user1399 | CC BY-SA 4.0 |
grammar fixed
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| Jan 23 at 11:36 | review | Suggested edits | |||
| S Jan 24 at 9:25 | |||||
| S Jan 22 at 18:53 | history | bounty ended | user 1 | ||
| S Jan 22 at 18:53 | history | notice removed | user 1 | ||
| Jan 21 at 20:43 | history | edited | LSpice | CC BY-SA 4.0 |
Capitalise title, and link to paper, while this is on the front page
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| Jan 21 at 19:31 | answer | added | user1399 | timeline score: 1 | |
| Jan 21 at 18:16 | comment | added | user 1 | R is Noetherian if and only if each prime ideal of R is finitely generated | |
| Jan 18 at 19:07 | comment | added | Z. M | Noetherianness is certainly not determined by the (partially ordered) set of prime ideals. Every valuation ring of rank 1 has the same poset of prime ideals, but there are non-Noetherian valuation rings of rank 1. | |
| Jan 18 at 8:57 | history | edited | user 1 | CC BY-SA 4.0 |
edited title
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| Jan 16 at 13:32 | history | edited | user 1 |
edited tags
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| Jan 16 at 8:45 | history | edited | user 1 | CC BY-SA 4.0 |
added 194 characters in body
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| Jan 16 at 8:37 | comment | added | user 1 | thank you Fernando Muro . edited. If the question seems dumb, please see the text I quoted from Gilmer. I mean examples like ones in that text; Also, what I have written in the bounty text. | |
| Jan 16 at 8:32 | history | edited | user 1 | CC BY-SA 4.0 |
deleted 9 characters in body
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| Jan 16 at 8:29 | comment | added | Fernando Muro | Each prime ideal being finitely generated is not a property of the set of prime ideals. | |
| S Jan 16 at 8:21 | history | bounty started | user 1 | ||
| S Jan 16 at 8:21 | history | notice added | user 1 | Draw attention | |
| Sep 19, 2022 at 20:21 | review | Close votes | |||
| Oct 4, 2022 at 3:05 | |||||
| Sep 19, 2022 at 18:54 | comment | added | user 1 | properties like the ones listed in the question. | |
| Sep 19, 2022 at 14:13 | comment | added | YCor | "determined by the set of prime ideals" is a bit ambiguous. What structure do you retain on this set? For instance, you can consider this set as an ordered set. E.g., what "be a multiplication ideal" retains? Without further information I think that any ring property can be disguised into a property in terms of prime ideals. | |
| Sep 19, 2022 at 13:37 | history | asked | user 1 | CC BY-SA 4.0 |