I am doing some amateur research in formal language theory. Now see, I don't even know if that's where my study area is...
So anyway, I come up with interesting ideas that on occasion work, and I'm learning to filter out the bad approaches to problems. So I have this formal language conjugacy class idea. But not exactly that. Firstly, does that trigger any recall of peer-reviewed work that you know of?
Anyhow, I am almost always running into this issue, so I would like some help. Google is not pulling up any relevant papers on that idea or anything else I can think of to type. I am sure not everything is indexed by google. I would like some simple guidelines that will help me find what I need and I don't have much money, though would be willing to purchase maybe 1-2 memberships if it would mean this issue of mine is resolved most easily that way.
I am also aware that all of my efforts may be pointless as there are many category-theoretical approaches to formal language theory that have probably already made these observations or beyond. However, working only at that abstract level, also hides simple observations. So I need to learn both the concrete areas and the more abstract areas.
If I could just feel confident that I've ruled out all possible peer-reviewed articles, and that I'm not duplicating known ideas, that would be awesome. If that is the case, I would rather get back to my more productive, known math studying.
What is a non-academic mathematician to do? We have had the internet around for maybe 20 years. I shouldn't have to ask this question, but here I am. Ideally, I could be addressing this research hindrance issue in my personal software projects, but I am already loaded with tasks.