Linked from

The 15 pages that link to Associativity, each with the reason it gives.

• GroupRelated: Associativity is the group axiom that makes products of several elements unambiguous.

• Vector additionRelated: Regrouping three or more vectors does not change their total.

• Abstract algebraRelated: Associativity is a defining law for groups and a common axiom in algebraic systems.

• Abelian groupRelated: Associativity is a group axiom independent of commutativity.

• Binary operationRelated: It determines whether chains of this operation can be evaluated without specifying parentheses.

• SemigroupRelated: Associativity is the defining law that distinguishes semigroups from arbitrary binary systems.

• CategoryRelated: Associativity ensures that a chain of morphisms has an unambiguous composite.

• Inverse elementRelated: Associativity helps establish familiar laws for two-sided inverses.

• MorphismRelated: Associativity requires either grouping of composed morphisms to yield the same arrow.

• Order of operationsRelated: Associativity decides how a chain of equal-precedence operations is grouped.

• ParenthesesRelated: Parentheses can make grouping explicit when an operation’s associativity matters.

• Absorption lawRelated: Associativity lets lattice expressions be regrouped alongside absorption simplifications.

• Cox's theoremRelated: Equivalent groupings of a conjunction force constraints on the plausibility combination rule.