Partial group algebra

Imagine if you have a group of toy dinosaurs, each with their own special moves and abilities. Now imagine you want to perform operations on these dinosaurs, like adding them together or multiplying them. This is where partial group algebra comes in.

Partial group algebra is like a special calculator for doing these operations on your group of dinosaurs. It helps you keep track of which dinosaurs you've combined and how, so you can keep playing and having fun!

But there's a catch: not all dinosaurs in the group can be combined with each other. Some may be incompatible, like oil and water. Partial group algebra helps you figure out which dinosaurs can be combined and in what ways.

Think of it like having a bunch of different puzzle pieces, and partial group algebra is your guide to figuring out which pieces fit together and in what order.

Overall, partial group algebra is just a fancy way of keeping track of which operations you can perform on your group of dinosaurs so you can play with them to your heart's content!