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Timeline for Is there a $3$-commutative algebra?

Current License: CC BY-SA 4.0

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Sep 23, 2022 at 10:05 comment added Vladimir Dotsenko @SalvatoreSiciliano thanks! This remark clarifies some things I heard about quandles (in the context of knots, so nontrivial quandles) before...
Sep 21, 2022 at 22:47 comment added Salvatore Siciliano Exactly, this is just the case, as $xy=y$ for all $x,y\in X$.
Sep 21, 2022 at 19:12 comment added Vladimir Dotsenko If I remember the definition of the trivial quandle correctly, the quandle ring of a trivial quandle satisfies the stronger identity $(xy-yx)z=0$, right?
Sep 17, 2022 at 18:04 history edited Salvatore Siciliano CC BY-SA 4.0
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Sep 17, 2022 at 18:00 comment added Salvatore Siciliano Sure, Denis. I just added another class of examples in my answer.
Sep 17, 2022 at 17:56 history edited Salvatore Siciliano CC BY-SA 4.0
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Sep 17, 2022 at 17:03 comment added Denis Serre I see. This is so because every $3$-terms product $PQR$ vanishes. Somehow a trivial case, though perfectly acceptable.
Sep 17, 2022 at 16:59 history answered Salvatore Siciliano CC BY-SA 4.0