Partial equivalence relation

In mathematics, a partial equivalence relation (often abbreviated as PER, in older literature also called restricted equivalence relation) $R$ on a set $X$ is a relation that is symmetric and transitive. In other words, it holds for all $a, b, c \in X$ that:

If $R$ is also reflexive, then $R$ is an equivalence relation.

单词	Partial equivalence relation
释义	Partial equivalence relation 英语百科 Partial equivalence relation In mathematics, a partial equivalence relation (often abbreviated as PER, in older literature also called restricted equivalence relation) $R$ on a set $X$ is a relation that is symmetric and transitive. In other words, it holds for all $a, b, c \in X$ that: If $R$ is also reflexive, then $R$ is an equivalence relation.
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