| Interface | Description |
|---|---|
| AbelianGroup<T> |
The algebraic structure of an abelian group (or commutative group).
|
| CommutativeMonoid<T> |
The algebraic structure of a commutative monoid (less common an 'abelian monoid'), meaning that the operation is
commutative and associative.
|
| CommutativeSemigroup<T> |
The algebraic structure of a commutative semigroup, meaning that the operation of the semigroup is commutative and
associative.
|
| FiniteStructure<T> |
An algebraic structure, which has a finite number of elements.
|
| Group<T> |
Represents the algebraic structure of a group, which has with respect to a monoid the additional property that it
provides a unitary operation, which gives rise to inverse elements.
|
| GrouplikeStructure<T> |
Marks a algebraic structure that is of group-like type, aka it has one operation.
|
| Magma<T> |
The algebraic structure of a Magma (or also called groupoid).
|
| Monoid<T> |
Represents the algebraic structure of a Monoid, which extends a semigroup by having an identity element.
|
| Semigroup<T> |
Represents the algebraic structure of a semigroup (the same as an associative magma).
|
| Class | Description |
|---|---|
| AbstractAbelianGroup<E> |