👉 In mathematics, a monoid is an algebraic structure where addition and multiplication are defined such that: 1. Addition distributes over subtraction: \[a + (b + c) = (a + b) + c\] 2. Multiplication distributes over division: \[a(bc) = (ab)c\] The key difference between a monoid and a group is that in a monoid, the operation of addition and multiplication are commutative, meaning that for any two elements \(a