Timeline for Equational theory in the signature (+,*,0,1) of sedenions and beyond
Current License: CC BY-SA 4.0
16 events
| when toggle format | what | by | license | comment | |
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| S Dec 8, 2019 at 22:00 | history | bounty ended | CommunityBot | ||
| S Dec 8, 2019 at 22:00 | history | notice removed | CommunityBot | ||
| S Nov 30, 2019 at 20:45 | history | bounty started | user107952 | ||
| S Nov 30, 2019 at 20:45 | history | notice added | user107952 | Draw attention | |
| Nov 27, 2019 at 17:41 | comment | added | Keith Kearnes | @YCor: ``If I understand the question correctly''...This may be what is meant, but the question is written so that it asks is whether the varieties of unital semirings generated are the same, not the varieties of unital algebras. | |
| Nov 26, 2019 at 23:02 | comment | added | YCor | PS the paper referred to by Alex Kruckman is Bremner, Hentzel, Identities for algebras obtained from the Cayley-Dickson process, Comm. Algebra 29 (2001), no. 8, 3523-3534. | |
| Nov 26, 2019 at 22:57 | comment | added | YCor | If I understand the question correctly, in terms of universal algebra the question is whether the varieties of (non-associative unital) algebras generated by Cayley-Dickson algebras are all the same (from sedenions on). | |
| Nov 26, 2019 at 22:54 | history | edited | YCor |
edited tags; edited tags
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| Nov 26, 2019 at 21:35 | comment | added | Alex Kruckman | This paper seems relevant (but does not answer the question). | |
| Nov 26, 2019 at 21:00 | comment | added | Wojowu | Let me just note that the entire first-order theories are definitely not the same, since starting from quaternions the center of the algebra is $\mathbb R$ and we can express whether the algebra is $4,8,16,32,\dots$-dimensional over its center. | |
| S Nov 26, 2019 at 20:37 | history | suggested | wlad |
added ring and algebra tag
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| Nov 26, 2019 at 20:27 | review | Suggested edits | |||
| S Nov 26, 2019 at 20:37 | |||||
| Nov 26, 2019 at 19:45 | history | edited | Amir Sagiv | CC BY-SA 4.0 |
added relevant link
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| S Nov 26, 2019 at 19:43 | history | suggested | wlad | CC BY-SA 4.0 |
Added latex
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| Nov 26, 2019 at 19:21 | review | Suggested edits | |||
| S Nov 26, 2019 at 19:43 | |||||
| Nov 26, 2019 at 18:36 | history | asked | user107952 | CC BY-SA 4.0 |