Congruence (disambiguation): Difference between revisions

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* In [[modular arithmetic]], the property of integers having the same remainder on division by a given modulus
* In [[modular arithmetic]], the property of integers having the same remainder on division by a given modulus
* In [[ring theory]], the property of elements of a ring lying in the same coset of a given ideal
* In [[ring theory]], the property of elements of a ring lying in the same coset of a given ideal
* In [[matrix theory]], the property of matrices relating to the same bilinear form with respect to different bases

Revision as of 15:28, 31 October 2008

In mathematics, congruence may refer to:

  • In Euclidean geometry, the relation between figures that can be superposed by rigid motions
  • In modular arithmetic, the property of integers having the same remainder on division by a given modulus
  • In ring theory, the property of elements of a ring lying in the same coset of a given ideal
  • In matrix theory, the property of matrices relating to the same bilinear form with respect to different bases