Semigroup–Quasigroup Structure
Semigroup–Quasigroup Structure
Magma
Semigroup
Unital Magma
Quasigroup
Monoid
Loop
Group
Click on a region to see its definition and examples.
Definitions
- Magma — a set with a binary operation
- Semigroup — associative magma
- Unital Magma — magma with identity
- Monoid — semigroup with identity
- Quasigroup — magma with division
- Loop — quasigroup with identity
- Group — monoid with inverses (equivalently: associative loop)