Commutative non-associative magmas
Okay kiddo, let's start with what a magma is. A magma is a set of things (which we call elements) that can be combined together using an operation (like adding or multiplying). Not all magmas are the same though, some have special rules.
Now, the commutative non-associative magma is a type of magma that follows two specific rules:
1. Commutativity: This is a big word that means that the order in which you combine the elements doesn't matter. For example, you can add 2 and 3 to get 5, and it's the same as adding 3 and 2 to get 5.
2. Non-associativity: This means that the order in which you combine the elements actually does matter in certain cases. For example, if you have a magma where the operation is "subtract," then (4 - 7) - 9 is different from 4 - (7 - 9).
So, in a commutative non-associative magma, you can combine the elements in any order you want (commutativity), but sometimes the order actually makes a difference (non-associativity).
I hope I explained it well!
Now, the commutative non-associative magma is a type of magma that follows two specific rules:
1. Commutativity: This is a big word that means that the order in which you combine the elements doesn't matter. For example, you can add 2 and 3 to get 5, and it's the same as adding 3 and 2 to get 5.
2. Non-associativity: This means that the order in which you combine the elements actually does matter in certain cases. For example, if you have a magma where the operation is "subtract," then (4 - 7) - 9 is different from 4 - (7 - 9).
So, in a commutative non-associative magma, you can combine the elements in any order you want (commutativity), but sometimes the order actually makes a difference (non-associativity).
I hope I explained it well!