Timeline for Categorical Unification of Jordan Holder Theorems
Current License: CC BY-SA 4.0
3 events
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| Feb 27, 2019 at 18:41 | comment | added | Tim Campion | Beautiful! Two questions: Let $X$ be a finite-length object in a Barr-exact Mal'cev category $C$. (1) If $Z_1,\dots,Z_n$ are the ordered factors of a composition series for $X$, then is any permutation $Z_{\sigma 1},\dots,Z_{\sigma n}$ also the ordered factors of a composition series for $X$? (2) Suppose $Y_1,\dots, Y_k$ each appear as the factors in various normal series for $X$. If we concatenate the factors for composition series for the $Y_i$'s and get the factors for a composition series for $X$, then is $Y_1,\dots,Y_k$ the ordered factors for a normal series for $X$? | |
| Feb 27, 2019 at 18:27 | history | edited | Tim Campion | CC BY-SA 4.0 |
added doi links to references.
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| Feb 27, 2019 at 17:56 | history | answered | Friedrich Knop | CC BY-SA 4.0 |