abe·​li·​an ə-ˈbē-lē-ən How to pronounce abelian (audio)
often capitalized
: commutative sense 2
abelian group
abelian ring

Examples of abelian in a Sentence

Recent Examples on the Web For example, x2 − 2 is abelian, but x3 − 2 is not. Quanta Magazine, 25 May 2021 That combination produces a kind of surface called an abelian surface. Jordana Cepelewicz, Quanta Magazine, 24 Aug. 2022 Microsoft is trying to chase a new quantum computer based on a new topography and a yet-undiscovered particle called non-abelian anyons. Agam Shah, PCWorld, 4 May 2017

These examples are programmatically compiled from various online sources to illustrate current usage of the word 'abelian.' Any opinions expressed in the examples do not represent those of Merriam-Webster or its editors. Send us feedback about these examples.

Word History


Niels Abel †1829 Norwegian mathematician

First Known Use

circa 1889, in the meaning defined above

Time Traveler
The first known use of abelian was circa 1889

Dictionary Entries Near abelian

Cite this Entry

“Abelian.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/abelian. Accessed 25 Sep. 2023.

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