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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.
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