Congruence Relation

In abstract algebra, a congruence relation (or simply congruence) is an equivalence relation on an algebraic structure (such as a group, ring, or vector space) that is compatible with the structure. Every congruence relation has a corresponding quotient structure, whose elements are the equivalence classes (or congruence classes) for the relation.

Read more about Congruence Relation:  Basic Example, Definition, Relation With Homomorphisms, Congruences of Groups, and Normal Subgroups and Ideals, Universal Algebra

Famous quotes containing the words congruence and/or relation:

    As for butterflies, I can hardly conceive
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    Every word was once a poem. Every new relation is a new word.
    Ralph Waldo Emerson (1803–1882)