Monolingual examples (not verified by PONS Editors)

English
The act of iterating on a non-associative binary operation may be represented as a binary tree.
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We only need one binary operation, and concatenation suffices to denote it.
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The additive inverse is defined as its inverse element under the binary operation of addition (see the discussion below), which allows a broad generalization to mathematical objects other than numbers.
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Briefly, a ring is an abelian group with a second binary operation that is distributive over the abelian group operation and is associative.
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