# Multiplication/Related Articles

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

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• Absorbing element [r]: An element whose behaviour with respect to an algebraic binary operation is like that of zero with respect to multiplication. [e]
• Addition [r]: A binary mathematical operation of summing numbers or quantities together. [e]
• Algebra over a field [r]: A ring containing an isomorphic copy of a given field in its centre. [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]
• Binary operation [r]: A function of two elements within a set, which assigns another value from among the elements of the set. [e]
• Commutativity [r]: A property of a binary operation (such as addition or multiplication), that the two operands may be interchanged without affecting the result. [e]
• Distributivity [r]: A relation between two binary operations on a set generalising that of multiplication to addition: a(b+c)=ab+ac. [e]
• Division (arithmetic) [r]: The process of determing how many copies of one quantity are required to make up another; repeated subtraction; the inverse operation to multiplication. [e]
• Elementary function [r]: Mathematical functions built from a finite number of exponentials, logarithms, constants, one variable, and roots of equations through composition and combinations using the four elementary arithmetic operations (+ – × ÷). [e]
• Euclid's lemma [r]: A prime number that divides a product of two integers must divide one of the two integers. [e]
• Fraction (mathematics) [r]: A concept used to convey a proportional relation between a part and the whole consisting of a numerator (an integer — the part) and a denominator (a natural number — the whole). [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]
• Identity element [r]: An element whose behaviour with respect to a binary operation generalises that of zero for addition or one for multiplication. [e]
• Integer [r]: The positive natural numbers (1, 2, 3, …), their negatives (−1, −2, −3, ...) and the number zero. [e]
• Linear equation [r]: Algebraic equation, such as y = 2x + 7 or 3x + 2y − z = 4, in which the highest degree term in the variable or variables is of the first degree. [e]
• Mathematics [r]: The study of quantities, structures, their relations, and changes thereof. [e]
• Monoid [r]: An algebraic structure with an associative binary operation and an identity element. [e]
• Natural number [r]: An element of 1, 2, 3, 4, ..., often also including 0. [e]
• Pi (Greek letter) [r]: The sixteenth letter of the Greek alphabet, written as  (upper-case) and  (lower-case). [e]
• Pointwise operation [r]: Method of extending an operation defined on an algebraic struture to a set of functions taking values in that structure. [e]
• Polynomial [r]: A formal expression obtained from constant numbers and one or indeterminates; the function defined by such a formula. [e]
• Prime number [r]: A number that can be evenly divided by exactly two positive whole numbers, namely one and itself. [e]
• Real number [r]: A limit of the Cauchy sequence of rational numbers. [e]
• Semigroup [r]: An algebraic structure with an associative binary operation. [e]
• Sequence [r]: An enumerated list in mathematics; the elements of this list are usually referred as to the terms. [e]
• Tetration [r]: Holomorphic function characterized in that at integer values of its argument it can be interpreted as iterated exponent. [e]