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
of one’s attending upon you; but to question
the congruence of the complement is vain, if it exists.”
—Marianne Moore (1887–1972)
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—Ralph Waldo Emerson (1803–1882)