Hello again.
You could certainly download the kernel package from the PPA and install it - although the page your screen shot appears to show is for Precise - the version after 11.10 which you mentioned in the title of the thread. You would want Oneiric.
I am a little concerned as to why you have a broken package system. I think we should try to fix this.
Try the following:
Open Synaptic.
Choose Edit > Fix Broken Packages from the menu.
Choose Apply Marked Changes from the Edit menu or press Ctrl + P.
Confirm the summary of changes and click Apply.
The software sources I mentioned in my previous post are the PPAs that you have enable from which you download the software with apt-get or synaptic. I wondered if the hardy ppas you appear to have could be causing your trouble.
Try the fix above and let me know what happens.
Cheers
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