Adverb
associatively (comparative more associatively, superlative most associatively)
In an associative way.
A category has two basic properties: the ability to compose the arrows associatively and the existence of an identity arrow for each object. Source: Internet
Universal Algebra, Van Nostrand Co., Inc., 1968, p. v. At the time structures such as Lie algebras and hyperbolic quaternions drew attention to the need to expand algebraic structures beyond the associatively multiplicative class. Source: Internet