[uh-bee-lee-uhn, uh-beel-yuhn]
adjective Mathematics.
of or pertaining to Niels Henrik Abel or his theorems.
pertaining to an algebraic system in which an operation is commutative: an Abelian group.
pertaining to such an operation.

1905–10; Abel + -ian

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Hence, every topological vector space is an abelian topological group.
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