Tuxoid is a project which allows you to run a full Linux desktop environment on an Android device. It's in very early stages right now and a lot is likely to change. Please see the DevDB project on XDA Developers for more information such as installation instructions.
http://forum.xda-developers.com/android/apps-games/tuxoid-linux-desktop-environment-android-t3134232
Any useful contributions are welcome! Submit a pull request to see about merging in your code.
Tuxoid is licensed under GNU GPLv3. See the LICENSE file for more details.