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Qu'est-ce (qui) est Quotient by an equivalence relation - définition
Quotient by an equivalence relation
In mathematics, given a category C, a quotient of an object X by an equivalence relation f: R \to X \times X is a coequalizer for the pair of maps
partial equivalence relation
MATHEMATICAL CONCEPT FOR COMPARING OBJECTS
⇹; Partial relation; Draft:Partial equivalence; Draft:Restricted equivalence relation
(PER) A relation R on a set S where R is symmetric (x R y => y
R x) and transitive (x R y R z => x R z) and where there may
exist elements in S for which the relation is not defined. A
PER is an equivalence relation on the subset for which it is
defined, i.e. it is also reflexive (x R x).
Partial equivalence relation
MATHEMATICAL CONCEPT FOR COMPARING OBJECTS
⇹; Partial relation; Draft:Partial equivalence; Draft:Restricted equivalence relation
In mathematics, a partial equivalence relation (often abbreviated as PER, in older literature also called restricted equivalence relation) is a homogeneous binary relation that is symmetric and transitive. If the relation is also reflexive, then the relation is an equivalence relation.
