ring

Type Members

1. trait AdditiveCommutativeGroup[A] extends AdditiveGroup[A] with AdditiveCommutativeMonoid[A]

2. trait AdditiveCommutativeMonoid[A] extends AdditiveMonoid[A] with AdditiveCommutativeSemigroup[A]

3. trait AdditiveCommutativeSemigroup[A] extends AdditiveSemigroup[A]

4. trait AdditiveGroup[A] extends AdditiveMonoid[A]

5. trait AdditiveGroupFunctions extends AdditiveMonoidFunctions

6. trait AdditiveMonoid[A] extends AdditiveSemigroup[A]

7. trait AdditiveMonoidFunctions extends AdditiveSemigroupFunctions

8. trait AdditiveSemigroup[A] extends Serializable

9. trait AdditiveSemigroupFunctions extends AnyRef

10. trait CommutativeRig[A] extends Rig[A] with MultiplicativeCommutativeMonoid[A]

    CommutativeRig is a Rig that is commutative under multiplication.

11. trait CommutativeRing[A] extends Ring[A] with CommutativeRig[A]

    CommutativeRing is a Ring that is commutative under multiplication.

12. trait EuclideanRing[A] extends CommutativeRing[A]

    EuclideanRing implements a Euclidean domain.

13. trait EuclideanRingFunctions extends AdditiveGroupFunctions with MultiplicativeMonoidFunctions

14. trait Field[A] extends EuclideanRing[A] with MultiplicativeCommutativeGroup[A]

15. trait FieldFunctions extends EuclideanRingFunctions with MultiplicativeGroupFunctions

16. trait MultiplicativeCommutativeGroup[A] extends MultiplicativeGroup[A] with MultiplicativeCommutativeMonoid[A]

17. trait MultiplicativeCommutativeMonoid[A] extends MultiplicativeMonoid[A] with MultiplicativeCommutativeSemigroup[A]

18. trait MultiplicativeCommutativeSemigroup[A] extends MultiplicativeSemigroup[A]

19. trait MultiplicativeGroup[A] extends MultiplicativeMonoid[A]

20. trait MultiplicativeGroupFunctions extends MultiplicativeMonoidFunctions

21. trait MultiplicativeMonoid[A] extends MultiplicativeSemigroup[A]

22. trait MultiplicativeMonoidFunctions extends MultiplicativeSemigroupFunctions

23. trait MultiplicativeSemigroup[A] extends Serializable

24. trait MultiplicativeSemigroupFunctions extends AnyRef

25. trait Rig[A] extends Semiring[A] with MultiplicativeMonoid[A]

    Rig consists of:

26. trait Ring[A] extends Rig[A] with Rng[A]

    Ring consists of:

27. trait RingFunctions extends AnyRef

28. trait Rng[A] extends Semiring[A] with AdditiveCommutativeGroup[A]

    Rng (pronounced "Rung") consists of:

29. trait Semiring[A] extends AdditiveCommutativeMonoid[A] with MultiplicativeSemigroup[A]

    Semiring consists of: