N-ary associativity, the Glossary

Table of Contents

1. 6 relations: Algebra, Arity, Associative property, Generalization, Sequence, Ternary operation.

2. Properties of binary operations

Algebra

Algebra is the branch of mathematics that studies algebraic structures and the manipulation of statements within those structures.

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Arity

In logic, mathematics, and computer science, arity is the number of arguments or operands taken by a function, operation or relation.

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Associative property

In mathematics, the associative property is a property of some binary operations that means that rearranging the parentheses in an expression will not change the result. N-ary associativity and associative property are properties of binary operations.

See N-ary associativity and Associative property

Generalization

A generalization is a form of abstraction whereby common properties of specific instances are formulated as general concepts or claims.

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Sequence

In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

See N-ary associativity and Sequence

Ternary operation

In mathematics, a ternary operation is an n-ary operation with n.

See N-ary associativity and Ternary operation

See also

Properties of binary operations

• Alternativity
• Anticommutative property
• Associative property
• Cancellation property
• Commutative property
• Distributive property
• Flexible algebra
• Idempotence
• Identity element
• Jacobi identity
• N-ary associativity
• Nilpotent algebra
• Power associativity
• Quasi-commutative property
• Symmetric function

References

[1] https://en.wikipedia.org/wiki/N-ary_associativity

Also known as Ternary associativity.