I want to ask a question, but I'm wondering if it's on topic here. It's a question about if I should even bother writing up a paper, but the work is in Abstract Algebra, so maybe MathOverflow would be a better fit? Or if anyone can refer me to duplicates that I might have missed.
Let's assume I've built a probabilistic non-determinant model. I've developed my own notation, described my own objects, and shown some properties to be true about these objects.
My work isn't based on any previous work, so I have no citations. It isn't ground breaking, and I'm under no illusions that I'm the next Euler. But I do think it might eventually be a useful tool for others, if they see it and possibly draw similarities between my work and other fields. I would certainly like to see it extended by others, and see where it might lead.
I'm wondering if it would be worthwhile to put work into actually writing up my model and results into a paper to try to submit somewhere? It would basically be a paper full of definitions, plus proofs of a few properties resulting from those definitions.
NOTE: I don't think this is a dupe, I'm not asking if an independent researcher can submit a paper, or where such a paper could be submitted. Nor if such a paper or the work might help later in my career. I just want to know if such a paper would even be read, anywhere, by anyone. Should I bother taking the time to write it up, or just keep working on it by myself.
2nd NOTE (before anyone asks): It's mathematical work. I've built up notation and a probabilistic system of objects, defined their relations, and shown certain classes of these objects are a Group, and possibly a Ring, under certain constraints. I'd like to see if others can extend my work further into Algebra, Topology, or Geometry.