Timeline for Functoriality of adjugate matrix
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Dec 3, 2016 at 19:20 | answer | added | Paul Bryan | timeline score: 2 | |
| Oct 12, 2013 at 21:02 | answer | added | joel | timeline score: 7 | |
| Sep 27, 2011 at 13:18 | answer | added | Igor Rivin | timeline score: 5 | |
| Sep 27, 2011 at 13:09 | comment | added | joel | hmm… i know for example that matrix transpose corresponds to dualization functor or rather it is it's special case. for transpose i know that it's functorial: $I^\mathrm T = I$, $(\mathbf{AB})^\mathrm T = \mathbf B^\mathrm T \mathbf A^\mathrm T$ and it commutes with inverse. this functor is $(\cdot)^\star\colon \mathrm{Hom}(M, N) \to \mathrm{Hom}\left(N^\star, M^\star\right)$ for $R$-modules $M$ and $N$, where $M^\star, N^\star$ are their dual modules respectively, and $\mathrm{Hom}(M, N)$ denotes set of all homomorphisms $M \to N$. i'm looking for similar explanation! :p | |
| Sep 27, 2011 at 11:18 | comment | added | Igor Rivin | What does "what kind of functor" mean? | |
| Sep 27, 2011 at 11:12 | history | asked | joel | CC BY-SA 3.0 |