Definition 77.19.3. In the situation of Definition 77.19.1. We say that the pre-relation $j$ has a *quotient representable by an algebraic space* if the sheaf $U/R$ is an algebraic space. We say that the pre-relation $j$ has a *representable quotient* if the sheaf $U/R$ is representable by a scheme. We will say a groupoid in algebraic spaces $(U, R, s, t, c)$ over $B$ has a *representable quotient* (resp. *quotient representable by an algebraic space* if the quotient $U/R$ with $j = (t, s)$ is representable (resp. an algebraic space).

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