groupoid
/ˈɡruːpɔɪd/
noun
- A small, loosely organized group of people who share a common interest or activity, but are not a formal club or organization.
- A groupoid of neighbors meets every Saturday to play soccer in the park.
- She joined a photography groupoid that shares tips and goes on photo walks together.
- The hiking groupoid decided to explore a new trail this weekend.
- In mathematics, a set with a binary operation (not necessarily associative or having an identity element); also called a magma.
- The professor explained that every group is also a groupoid, but not every groupoid is a group.
- In abstract algebra, a groupoid is a simpler structure than a group because it does not require associativity.
- Students studied how to define a groupoid on a finite set using a Cayley table.