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...ity''' is a property of [[binary operation]]s. If <math>\star</math> is a binary operation then the associative property is the condition that

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In [[algebra]], '''distributivity''' is a property of two [[binary operation]]s which generalises the relationship between [[addition]] and [[multiplica

In the common case of a [[binary operation]] <math>\star</math>, written now in [[operator notation]], we can write

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...that F is a commutative group with an [[identity element]] 0; and another binary operation ''*'' on F such that F\{0} is a commutative group with identity element 1. The first binary operation is usually called ''addition'' and the second one ''multiplication''.

* [[Identity element]], or neutral element, with respect to a binary operation, an element which leaves the other operand unchanged.

'''Multiplication''' is the [[binary operation|binary]] [[operation (mathematics)|mathematical operation]] of scaling one Multiplication may also be used to describe more general [[binary operation]]s.

An adder performs a binary operation (two operands) where the ''n'' of one power in integer ''A'' is added to th

# There is a [[commutative operation|commutative]] binary operation, called ''addition'' (denoted by +) and the field ℝ is closed under this # There is a commutative binary operation, called ''multiplication'' (denoted by &times;) and the field ℝ is closed

Let ''M'' be a set with a [[binary operation]] <math>\circ</math> and ''R'' a [[ring (mathematics)|ring]]. Let ''f'' an

In [[algebra]], '''absorption''' is a property of [[binary operation]]s which reflects an underlying [[order (relation)|order relation]].

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...\{\dots, -2, -1, 0, 1, 2, \dots\}</math> together with the constant 0, the binary operation <math>+</math> (addition), the unary function <math>-</math> (which maps ea

...e sequences, over the "alphabet" <math>X \cup \bar X</math> and take the [[binary operation]] of concatenation (juxtaposition) of words. The [[identity element]] for