# Commutativity/Related Articles

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*See also changes related to Commutativity, or pages that link to Commutativity or to this page or whose text contains "Commutativity".*

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- Abelian group [r]: A group in which the group operation is commutative.
^{[e]} - Addition [r]: A binary mathematical operation of summing numbers or quantities together.
^{[e]} - Algebra [r]: A branch of mathematics concerning the study of structure, relation and quantity.
^{[e]} - Associativity [r]: A property of an algebraic operation such as multiplication: a(bc) = (ab)c.
^{[e]} - Centraliser [r]: The set of all group elements which commute with every element of a given subset.
^{[e]} - Centre of a group [r]: The subgroup of a group consisting of all elements which commute with every element of the group.
^{[e]} - Complex number [r]: Numbers of the form
*a+bi*, where*a*and*b*are real numbers and*i*denotes a number satisfying .^{[e]} - Conjugation (group theory) [r]: The elements of any group that may be partitioned into conjugacy classes.
^{[e]} - Division ring [r]: (or skew field), In algebra it is a ring in which every non-zero element is invertible.
^{[e]} - Equation (mathematics) [r]: A mathematical relationship between quantities stated to be equal, seen as a problem involving variables for which the solution is the set of values for which the equality holds.
^{[e]} - Extreme value [r]: The largest and the smallest element of a set.
^{[e]} - Frobenius map [r]: The p-th power map considered as acting on commutative algebras or fields of prime characteristic p.
^{[e]} - Group (mathematics) [r]: Set with a binary associative operation such that the operation admits an identity element and each element of the set has an inverse element for the operation.
^{[e]} - Integer [r]: The positive natural numbers (1, 2, 3, …), their negatives (−1, −2, −3, ...) and the number zero.
^{[e]} - Integral domain [r]: A commutative ring in which the product of two non-zero elements is again non-zero.
^{[e]} - Local ring [r]: A ring with a unique maximal ideal.
^{[e]} - Matrix [r]: A mathematical construct generally represented as a rectangular array of elements.
^{[e]} - Multiplication [r]: The binary mathematical operation of scaling one number or quantity by another (multiplying).
^{[e]} - Octonions [r]: A nonassociative and noncommutative extension of the quaternions.
^{[e]} - Order (relation) [r]: An irreflexive antisymmetric transitive binary relation on a set.
^{[e]} - Polynomial ring [r]: Ring formed from the set of polynomials in one or more variables with coefficients in another ring.
^{[e]} - Quaternions [r]: Numbers of form a + bi + cj + dk, where a, b, c and d are real, and i
^{2}= −1, j^{2}= −1 and k^{2}= −1.^{[e]}