Definition

Referring to a type of mathematical structure where the order of operations does not affect the outcome, meaning that changing the order of elements does not change the result.

Example

In mathematics, an abelian group is one where the group operation is commutative.

Conversation

Have you heard about abelian groups in math?

Yeah, I think they’re interesting because of their commutative properties.

Right! It’s fascinating how they simplify a lot of problems.

Totally! I love how abelian structures make everything easier to understand.

Synonyms & Antonyms

Root Explanation

Abelian is derived from the name "Abel" (from the Hebrew name "Hevel", meaning breath or vapor) combined with the suffix "-ian" (meaning relating to or characterized by). The term "abelian" refers to structures or groups in mathematics that are commutative, named after the mathematician Niels Henrik Abel.

Memory Tip

Think of the mathematician Abel, whose name is linked to the idea of commutativity in mathematics — that's why 'abelian' refers to structures that relate to Abel's work.

Visually Confused Words