Timeline for Interesting examples of a 4-torsion X in a triangulated category such that $2 End(X/2X)\neq 0$?
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Nov 23, 2012 at 18:50 | vote | accept | Mikhail Bondarko | ||
| Nov 14, 2012 at 14:11 | history | edited | Mikhail Bondarko | CC BY-SA 3.0 |
edited body; edited title
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| Nov 14, 2012 at 10:00 | history | edited | Mikhail Bondarko | CC BY-SA 3.0 |
I replaced $Hom(X,X/2X)$ by $End(X/2X)$ in condition 1, and added an explanation of condition 2.
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| Nov 14, 2012 at 9:49 | comment | added | Mikhail Bondarko | Yes, you are right! I updated the question. | |
| Nov 14, 2012 at 9:48 | history | edited | Mikhail Bondarko | CC BY-SA 3.0 |
In the previous version of my question condition 2 was easily seen to contradict condition 1. So I replaced $Hom(X,X/2X)$ by $End(X/2X)$.
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| Nov 14, 2012 at 9:43 | comment | added | Fernando Muro | Whatever your category is, $\hom(X,X/2X)$ is a right $\hom(X,X)$-module where the action of $2\cdot 1_X$ is trivial, hence $2\cdot\hom(X,X/2X)=0$. | |
| Nov 14, 2012 at 8:58 | answer | added | Neil Strickland | timeline score: 3 | |
| Nov 14, 2012 at 6:14 | history | asked | Mikhail Bondarko | CC BY-SA 3.0 |