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Abelian

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

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.

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

Abelian also argued that she has borne significant hardship from taking over as guardian for the three children, according to the judge’s ruling.

From Los Angeles Times • Jun. 11, 2023

For a group which is not Abelian no general law can be stated as to the existence or non-existence of a subgroup whose order is an arbitrarily assigned factor of the order of the group.

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

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