abelian group

Noun

In mathematics, a group in which the result of applying the group operation to any two group elements does not depend on their order (the axiom of commutativity).

ریشه

Named after Norwegian mathematician Niels Henrik Abel.

مثال

• In an Abelian group, the order of operations does not matter.
• The concept of an Abelian group is fundamental in abstract algebra.
• The integers form an Abelian group under addition.

ترکیب‌های رایج

Abelian group theory Abelian group structure Finite Abelian group Infinite Abelian group Subgroup of an Abelian group