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YouTube Videos – Associative property and Related Articles

A binary operation ∗ on the set S is associative when this diagram commutes. That is, when the two paths from S×S×S to S compose to the same function from S×S×S to S.

In the absence of the associative property, five factors a, b, c, d, e result in a Tamari lattice of order four, possibly different products.

The addition of real numbers is associative.

Image: Associativity of binary operations (without question marks)