Groupoid object

In category theory, a branch of mathematics, a groupoid object in a category C admitting finite fiber products is a pair of objects together with five morphisms satisfying the following groupoid axioms 1. * where the are the two projections, 2. * (associativity) 3. * (unit) 4. * (inverse) , , . A group object is a special case of a .

Groupoid object

In category theory, a branch of mathematics, a groupoid object in a category C admitting finite fiber products is a pair of objects together with five morphisms satisfying the following groupoid axioms 1. * where the are the two projections, 2. * (associativity) 3. * (unit) 4. * (inverse) , , . A group object is a special case of a .