algebra.laws

RingLaws

trait RingLaws[A] extends GroupLaws[A]

Linear Supertypes
GroupLaws[A], Laws, AnyRef, Any
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Inherited
  1. RingLaws
  2. GroupLaws
  3. Laws
  4. AnyRef
  5. Any
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Type Members

  1. class AdditiveProperties extends RuleSet

    Definition Classes
    GroupLaws

  2. class DefaultRuleSet extends RuleSet with HasOneParent

    Definition Classes
    Laws

  3. class GroupProperties extends RuleSet

    Definition Classes
    GroupLaws

  4. trait HasOneParent extends AnyRef

    Definition Classes
    Laws

  5. class MultiplicativeProperties extends RuleSet with HasOneParent

  6. class RingProperties extends RuleSet

  7. trait RuleSet extends AnyRef

    Definition Classes
    Laws

  8. class SimpleRuleSet extends DefaultRuleSet

    Definition Classes
    Laws

Abstract Value Members

  1. implicit abstract def Arb: Arbitrary[A]

    Definition Classes
    RingLaws → GroupLaws

  2. abstract val nonZeroLaws: GroupLaws[A]

  3. abstract def pred: Predicate[A]

Concrete Value Members

  1. final def !=(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef

  2. final def !=(arg0: Any): Boolean

    Definition Classes
    Any

  3. final def ##(): Int

    Definition Classes
    AnyRef → Any

  4. final def ==(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef

  5. final def ==(arg0: Any): Boolean

    Definition Classes
    Any

  6. implicit def Equ: Eq[A]

    Definition Classes
    RingLaws → GroupLaws

  7. object RingProperties

  8. def additiveCommutativeGroup(implicit A: AdditiveCommutativeGroup[A]): AdditiveProperties

    Definition Classes
    GroupLaws

  9. def additiveCommutativeMonoid(implicit A: AdditiveCommutativeMonoid[A]): AdditiveProperties

    Definition Classes
    GroupLaws

  10. def additiveCommutativeSemigroup(implicit A: AdditiveCommutativeSemigroup[A]): AdditiveProperties

    Definition Classes
    GroupLaws

  11. def additiveGroup(implicit A: AdditiveGroup[A]): AdditiveProperties

    Definition Classes
    GroupLaws

  12. def additiveMonoid(implicit A: AdditiveMonoid[A]): AdditiveProperties

    Definition Classes
    GroupLaws

  13. def additiveSemigroup(implicit A: AdditiveSemigroup[A]): AdditiveProperties

    Definition Classes
    GroupLaws

  14. final def asInstanceOf[T0]: T0

    Definition Classes
    Any

  15. def band(implicit A: Band[A]): GroupProperties

    Definition Classes
    GroupLaws

  16. def boundedSemilattice(implicit A: BoundedSemilattice[A]): GroupProperties

    Definition Classes
    GroupLaws

  17. def clone(): AnyRef

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  18. def commutativeGroup(implicit A: CommutativeGroup[A]): GroupProperties

    Definition Classes
    GroupLaws

  19. def commutativeMonoid(implicit A: CommutativeMonoid[A]): GroupProperties

    Definition Classes
    GroupLaws

  20. def commutativeSemigroup(implicit A: CommutativeSemigroup[A]): GroupProperties

    Definition Classes
    GroupLaws

  21. def emptyRuleSet: RuleSet

    Definition Classes
    Laws

  22. final def eq(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef

  23. def equals(arg0: Any): Boolean

    Definition Classes
    AnyRef → Any

  24. def euclideanRing(implicit A: EuclideanRing[A]): RingProperties

  25. def field(implicit A: ring.Field[A]): RingProperties

  26. def finalize(): Unit

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )

  27. final def getClass(): Class[_]

    Definition Classes
    AnyRef → Any

  28. def group(implicit A: Group[A]): GroupProperties

    Definition Classes
    GroupLaws

  29. def hashCode(): Int

    Definition Classes
    AnyRef → Any

  30. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any

  31. def monoid(implicit A: Monoid[A]): GroupProperties

    Definition Classes
    GroupLaws

  32. def multiplicativeCommutativeGroup(implicit A: MultiplicativeCommutativeGroup[A]): MultiplicativeProperties

  33. def multiplicativeGroup(implicit A: MultiplicativeGroup[A]): MultiplicativeProperties

  34. def multiplicativeMonoid(implicit A: MultiplicativeMonoid[A]): MultiplicativeProperties

  35. def multiplicativeSemigroup(implicit A: MultiplicativeSemigroup[A]): MultiplicativeProperties

  36. final def ne(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef

  37. final def notify(): Unit

    Definition Classes
    AnyRef

  38. final def notifyAll(): Unit

    Definition Classes
    AnyRef

  39. def rig(implicit A: Rig[A]): RingProperties

  40. def ring(implicit A: ring.Ring[A]): RingProperties

  41. def rng(implicit A: Rng[A]): RingProperties

  42. def semigroup(implicit A: Semigroup[A]): GroupProperties

    Definition Classes
    GroupLaws

  43. def semilattice(implicit A: Semilattice[A]): GroupProperties

    Definition Classes
    GroupLaws

  44. def semiring(implicit A: Semiring[A]): RingProperties

  45. final def synchronized[T0](arg0: ⇒ T0): T0

    Definition Classes
    AnyRef

  46. def toString(): String

    Definition Classes
    AnyRef → Any

  47. final def wait(): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  48. final def wait(arg0: Long, arg1: Int): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  49. final def wait(arg0: Long): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  50. def withPred(pred0: Predicate[A], replace: Boolean = true): RingLaws[A]

Inherited from GroupLaws[A]

Inherited from Laws

Inherited from AnyRef

Inherited from Any

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