Timeline for Equational theories determined by "identities without variables"
Current License: CC BY-SA 4.0
16 events
| when toggle format | what | by | license | comment | |
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| Mar 12, 2023 at 18:07 | answer | added | Keith Kearnes | timeline score: 2 | |
| Mar 12, 2023 at 7:37 | history | edited | მამუკა ჯიბლაძე | CC BY-SA 4.0 |
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| Mar 12, 2023 at 7:27 | history | edited | მამუკა ჯიბლაძე | CC BY-SA 4.0 |
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| Sep 6, 2015 at 23:07 | answer | added | Will Sawin | timeline score: 2 | |
| Sep 6, 2015 at 22:40 | comment | added | François G. Dorais | I'm happy to see this question come back after so long! My initial suggestion was clearly flawed as others have pointed out. I'm curious again! | |
| Sep 6, 2015 at 21:35 | answer | added | Keith Kearnes | timeline score: 4 | |
| Mar 13, 2014 at 8:05 | comment | added | მამუკა ჯიბლაძე | @FrançoisG.Dorais Is it the case that every algebra is existentially closed in the variety it generates? | |
| Mar 11, 2014 at 16:41 | comment | added | მამუკა ჯიბლაძე | @AlexKruckman I see, thank you. I really feel uncertain about this notion... | |
| Mar 11, 2014 at 16:33 | comment | added | Alex Kruckman | The notion of existential closedness depends on the class you're working in. An algebraically closed field is existentially closed in the class of fields, but not in the class of algebras over that field (for example, an algebra over $K$ may have nilpotent elements, while $K$ does not). | |
| Mar 8, 2014 at 19:08 | comment | added | მამუკა ჯიბლაძე | No not even that, I am now perfectly confused. What happens, say, in the algebras over an algebraically closed field? Are they all subquotients of products of the field?? What about noncommutative algebras, is not the base field existentially closed there? | |
| Mar 8, 2014 at 19:00 | comment | added | მამუკა ჯიბლაძე | @FrançoisG.Dorais This sounds very interesting but I do not feel well with this notion, could you please explain some more? I mean I know the definition but it feels like stronger than what I said... | |
| Mar 8, 2014 at 17:26 | comment | added | François G. Dorais | Another way to ask this question: when is the initial algebra of a variety existentially closed? | |
| Mar 8, 2014 at 10:52 | history | edited | მამუკა ჯიბლაძე | CC BY-SA 3.0 |
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| Mar 8, 2014 at 10:41 | history | edited | მამუკა ჯიბლაძე | CC BY-SA 3.0 |
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| Mar 8, 2014 at 10:35 | history | edited | მამუკა ჯიბლაძე | CC BY-SA 3.0 |
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| Mar 8, 2014 at 10:27 | history | asked | მამუკა ჯიბლაძე | CC BY-SA 3.0 |