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Abelian

American  
[uh-bee-lee-uhn, uh-beel-yuhn] / əˈbi li ən, əˈbil jən /

adjective

Mathematics.
  1. of or relating to Niels Henrik Abel or his theorems.

  2. pertaining to an algebraic system in which an operation is commutative.

    an Abelian group.

  3. pertaining to such an operation.


Etymology

Origin of Abelian

First recorded in 1905–10; Abel + -ian


Example Sentences

Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.

See Examples For:

Among the speakers were 21 women - six heads of state, four heads of government, one vice president, nine ministers and one vice minister, Abelian told reporters.

From Reuters ● Sep. 26, 2023

Of the 189 member countries who spoke there were 88 heads of state and 42 heads of government, said senior U.N. official Movses Abelian.

From Reuters ● Sep. 26, 2023

Under the 2020 bail arrangements, Abelian put up $100,000 as her sister’s personal surety.

From Los Angeles Times ● Jun. 11, 2023

“Not only is Abelian an attorney, but fleeing the country when out on bail is the model example of a broken bond condition,” Wilson wrote.

From Los Angeles Times ● Jun. 11, 2023

In fact, since every subgroup H of an Abelian group G and the corresponding factor groups G/H are Sylow’s theorem.

From Encyclopaedia Britannica, 11th Edition, Volume 12, Slice 6 "Groups, Theory of" to "Gwyniad" by Various

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