You do not need a degree to submit a paper. The greatest problem is finding the right journal to submit it to. There are many journals with different areas of interest. And for journals with overlapping fields, it is often the case that one journal will reject an paper because they feel that the result is not significant enough while another journal (of lesser 'quality') will happily accept it.

My advise would be to find someone that is an expert in the field of the paper and ask advice with respect to what would be a good journal. You could also try to contact any of the authors whoes papers you reference. If you paper has not any references, you would have to find relevant references. If a paper does not have any references, it is not very likely to be accepted by any journal.