Is there an open-source alternative to Android for use on a Samsung Tablet (GT N-8013)?

First of all, Android is (mostly) open-source.
So you need to specify what you want.
And please don't make me look up the specs of this machine. A link to some tech review might help.
Also, have you tried putting that question in a search engine?

First of all, Android is mostly under the control of Google. It is impossible to use without some Google application's influence. Since this is a Linux forum, I assumed (and that is probably the mistake I made) what I wanted would be understood to be a Linux solution. I stated that this is a Samsung Tablet...they're technically all the same, so its specs shouldn't be an issue. Finally, I put this out on DuckDuckGo and Google search engines. As expected, all responses pointed me to an Android upgrade. You know, this Samsung tablet is old and I was trying to revive some of its usefulness in the manner of old Windows laptops that I have loaded with Ubuntu in the past. The tablet isn't worth much, so I really don't have a problem donating it to Goodwill. This was just a last gasp before I did so.

What you are wanting is a ROM.

You'll need to see if there is one that supports your hardware
https://lineageos.org/
https://www.xda-developers.com/what-...m-rom-android/
https://www.youtube.com/watch?v=MHpvU6LWCgk
https://www.xda-developers.com/the-m...m-roms-on-xda/

etc.

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That's because the way these devices work means that they don't readily lend themselves to anything else. They're quite different to "old Windows laptops" and so you're between a rock and a hard place. You can't just wipe the OS off. As mentioned above, you will need to install a custom ROM.
You haven't mentioned how much time you want to put into it, but if you have tons of time you can download the Android source code and chop/"improve" it to your heart's content. You can remove all of the Google tie-ins. But beware that it's a rabbit hole. You may not resurface for a couple of years.

The easiest way would be to find a ROM which closest matches what you want and flash that onto it.

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Thank you teckk! This is exactly what I was looking for...and you even included URLs for further research. Excellent response, thank you very much