Telescoping series, the use of addition associativity for cancelling terms in an infinite series

A semigroup is a set with an associative binary operation.

Commutativity and distributivity are two other frequently discussed properties of binary operations.

Power associativity, alternativity, flexibility and N-ary associativity are weak forms of associativity.

Moufang identities also provide a weak form of associativity.

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