Associative

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Definition

An operator is associative[1] if:

  • (xy)z=x(yz)
    where xy denotes the operator acting on x and y

In fact given a function ×:S×SS we even call the image of (x,y) under × the product (or indeed the sum if we're using additive notation)

References

  1. Jump up Algebra - Serge Lang - Revised Third Edition - GTM