The Problem of Linard Algebra

i'm interested in algebric and statistical structure. Think of language, like when you can take words and kind of multiplied them or concatenate them together. That's a little bit like a group like i have. Maybe i have all that, but without inverses. I don't know what the inverse of red fire cruck is. So let's throw out inverse. Now, i gong to make another analogy. When we were talking about brower's fixed point theorem, um, i sort of said, hey, sometimes problems can be difficult, and so you want to transport them over into another field of math where things become easier. And especially if