Timeline for Special element of a commutative ring
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Jan 21, 2020 at 15:37 | comment | added | Artur | Can you explain a little more about filters? | |
| Jan 21, 2020 at 15:33 | comment | added | Artur | Your comment is useful for me. | |
| Jan 21, 2020 at 15:33 | comment | added | Artur | Thanks for your comment. I fixed the question. | |
| Jan 21, 2020 at 15:32 | history | edited | Artur | CC BY-SA 4.0 |
added 28 characters in body
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| Jan 21, 2020 at 15:04 | comment | added | Bertram Arnold | The collection of clopen subsets of $\operatorname{Spec}(R)$ on whose complement $s$ vanishes identically forms a filter (it is closed under intersections, enlarging the subset, and doesn't contain the empty set). Your property is equivalent to it being a maximal filter. The usual construction using Zorn's lemma should show that such an element always exists. | |
| Jan 21, 2020 at 13:45 | review | First posts | |||
| Jan 21, 2020 at 13:48 | |||||
| Jan 21, 2020 at 13:44 | history | asked | Artur | CC BY-SA 4.0 |