1. Plural of groupoid; in mathematics, algebraic structures consisting of a set with a binary operation that is closed but not necessarily associative, commutative, or having an identity element.
Usage: technical; mathematics

Examples

• In abstract algebra, groupoids are studied as generalizations of groups with fewer requirements.
• The mathematician proved that all groupoids satisfying certain conditions form a specific category.
• Groupoids appear frequently in the study of algebraic structures and category theory.
• The properties of groupoids make them useful for modeling systems where associativity is not assumed.