1. Abelian actually means that the group has commutativity

2. A polynomial expression is an expression that may be rewritten as a polynomial, by using commutativity, associativity and distributivity of addition and multiplication.

3. Groups for which the commutativity equation a • b = b • a always holds are called abelian groups (in honor of Niels Henrik Abel).

4. For example, a basic property of addition is commutativity which states that the order of numbers being added together does not matter.

5. This equation always holds in the group of integers under addition, because a + b = b + a for any two integers (commutativity of addition).

6. Camille Jordan named abelian groups after Norwegian mathematician Niels Henrik Abel, because Abel found that the commutativity of the group of a polynomial implies that the roots of the polynomial can be calculated by using radicals.

7. Abelian group 1 Abelian group In abstract algebra, an Abelian group, also called a commutative group, is a group in which the result of applying the group operation to two group elements does not depend on their order (the axiom of commutativity).