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• Binary operation
  In [[mathematics]], a '''binary operation''' on a set is a function of two variables which assigns a value to any pai Formally, a binary operation <math>\star</math> on a set ''S'' is a function on the [[Cartesian product]
  1 KB (202 words) - 12:53, 12 December 2008
• Binary operation/Definition
  162 bytes (24 words) - 12:45, 28 November 2008
• Binary operation/Related Articles
  304 bytes (41 words) - 13:19, 6 December 2008

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• Multiplication/Definition
  The [[binary operation|binary]] [[operation (mathematics)|mathematical operation]] of scaling one
  178 bytes (20 words) - 17:37, 28 March 2009
• Idempotent element
  In [[algebra]], an '''idempotent element''' with respect to a [[binary operation]] is an element which is unchanged when combined with itself. Formally, let <math>\star</math> be a binary operation on a set ''X''. An element ''E'' of ''X'' is an idempotent for <math>\star
  1,007 bytes (146 words) - 16:14, 13 December 2008
• Binary operation
  In [[mathematics]], a '''binary operation''' on a set is a function of two variables which assigns a value to any pai Formally, a binary operation <math>\star</math> on a set ''S'' is a function on the [[Cartesian product]
  1 KB (202 words) - 12:53, 12 December 2008
• Zero element/Definition
  For [[binary operation]]s, an element that has one of two properties analoguous to the number zero
  136 bytes (20 words) - 19:29, 10 November 2009
• Semigroup/Definition
  An algebraic structure with an associative binary operation.
  96 bytes (11 words) - 02:19, 9 November 2008
• Zero element
  * For an additively written binary operation, ''z'' is a ''zero element'' if (for all ''g'') * For a multiplicatively written binary operation, ''a'' is a ''zero element'' if (for all ''g'')
  853 bytes (133 words) - 19:23, 10 November 2009
• Identity element/Definition
  An element whose behaviour with respect to a binary operation generalises that of zero for addition or one for multiplication.
  162 bytes (23 words) - 02:15, 6 December 2008
• Monoid/Definition
  An algebraic structure with an associative binary operation and an identity element.
  120 bytes (15 words) - 02:21, 9 November 2008
• Commutativity/Definition
  A property of a binary operation (such as addition or multiplication), that the two operands may be intercha
  178 bytes (25 words) - 06:20, 6 December 2008
• Absorbing element/Definition
  An element whose behaviour with respect to an algebraic binary operation is like that of zero with respect to multiplication.
  161 bytes (23 words) - 02:25, 5 December 2008
• Commutativity
  ...[[operator (mathematics)|operator]]s on a set. If <math>\star</math> is a binary operation then the commutative property is the condition that
  695 bytes (102 words) - 19:40, 31 January 2009
• Semigroup
  In [[algebra]], a '''semigroup''' is a set equipped with a binary operation satisfying certain properties similar to but less stringent than those of a Formally, a semigroup is a set ''S'' with a binary operation <math>\star</math> satisfying the following conditions:
  3 KB (405 words) - 16:21, 13 November 2008
• Absorbing element
  In [[algebra]], an '''absorbing element''' or a '''zero element''' for a [[binary operation]] has a property similar to that of [[multiplication]] by [[zero]]. Formally, let <math>\star</math> be a binary operation on a set ''X''. An element ''O'' of ''X'' is absorbing for <math>\star</ma
  726 bytes (112 words) - 15:21, 21 December 2008
• Addition/Related Articles
  {{r|Binary operation}}
  243 bytes (26 words) - 13:20, 6 December 2008
• Identity element
  ...]], an '''identity element''' or '''neutral element''' with respect to a [[binary operation]] is an element which leaves the other operand unchanged, generalising the Formally, let <math>\star</math> be a binary operation on a set ''X''. An element ''I'' of ''X'' is an identity for <math>\star</
  927 bytes (140 words) - 15:33, 8 December 2008
• Absorption (mathematics)/Related Articles
  {{r|Binary operation}}
  174 bytes (20 words) - 04:26, 18 January 2010
• Idempotence
  A [[binary operation]] <math>\star</math> is ''idempotent'' if
  2 KB (242 words) - 13:20, 18 November 2022
• Monoid
  In [[algebra]], a '''monoid''' is a set equipped with a binary operation satisfying certain properties similar to but less stringent than those of a Formally, a monoid is set ''M'' with a binary operation <math>\star</math> satisfying the following conditions:
  3 KB (526 words) - 11:02, 23 December 2008
• Albert algebra
  ...'' is the set of 3×3 [[self-adjoint]] matrices over the [[octonion]]s with binary operation
  619 bytes (88 words) - 13:53, 14 November 2008
• Operation (mathematics)
  ...arguments it takes. In the case of real number addition, the operator is [[binary operation|binary]] because it takes two arguments.
  617 bytes (102 words) - 13:04, 12 December 2008