# Commutativity/Related Articles

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A list of Citizendium articles, and planned articles, about Commutativity.

## Bot-suggested topics

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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 ${\displaystyle i^{2}=-1}$. [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 i2 = −1, j2 = −1 and k2 = −1. [e]