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abelian

|a-be-li-an|

C1

/əˈbiː.li.ən/

commutative group

Etymology
Etymology Information

'abelian' originates from the name of the mathematician 'Niels Henrik Abel', who made significant contributions to group theory.

Historical Evolution

The term 'abelian' was coined in the late 19th century to honor Abel's work in mathematics, particularly in the study of commutative groups.

Meaning Changes

Initially, it referred specifically to Abel's work, but over time it evolved to describe any commutative group in mathematics.

Meanings by Part of Speech

Adjective 1

relating to or denoting a group in which the result of applying the group operation to two group elements does not depend on their order (commutative).

In mathematics, an abelian group is a group in which the group operation is commutative.

Synonyms

Antonyms

Last updated: 2025/03/31 19:21