Trait/Object

spire.laws

RingLaws

Related Docs: object RingLaws | package laws

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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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Visibility
  1. Public
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Type Members

  1. class AdditiveProperties extends RuleSet with HasOneParent

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    Definition Classes
    GroupLaws

  2. class DefaultRuleSet extends RuleSet with HasOneParent

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    Definition Classes
    Laws

  3. class GroupProperties extends DefaultRuleSet

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    Definition Classes
    GroupLaws

  4. trait HasOneParent extends AnyRef

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    Definition Classes
    Laws

  5. class MultiplicativeProperties extends RuleSet with HasOneParent

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  6. class RingProperties extends RuleSet

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  7. trait RuleSet extends AnyRef

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    Definition Classes
    Laws

  8. class SimpleRuleSet extends DefaultRuleSet

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    Definition Classes
    Laws

Abstract Value Members

  1. implicit abstract def Arb: Arbitrary[A]

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    Definition Classes
    RingLaws → GroupLaws

  2. abstract val nonZeroLaws: GroupLaws[A]

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  3. abstract def pred: Predicate[A]

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Concrete Value Members

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

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    Definition Classes
    AnyRef → Any

  2. final def ##(): Int

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    Definition Classes
    AnyRef → Any

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

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    Definition Classes
    AnyRef → Any

  4. implicit def Equ: Eq[A]

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    Definition Classes
    RingLaws → GroupLaws

  5. object RingProperties

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  6. def abGroup(implicit A: AbGroup[A]): GroupProperties

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    Definition Classes
    GroupLaws

  7. def additiveAbGroup(implicit A: AdditiveAbGroup[A]): AdditiveProperties

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    Definition Classes
    GroupLaws

  8. def additiveCMonoid(implicit A: AdditiveCMonoid[A]): AdditiveProperties

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    Definition Classes
    GroupLaws

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

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    Definition Classes
    GroupLaws

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

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    Definition Classes
    GroupLaws

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

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    Definition Classes
    GroupLaws

  12. final def asInstanceOf[T0]: T0

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    Definition Classes
    Any

  13. def cMonoid(implicit A: CMonoid[A]): GroupProperties

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    Definition Classes
    GroupLaws

  14. def cRig(implicit A: CRig[A]): RingProperties

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  15. def cRing(implicit A: CRing[A]): RingProperties

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  16. def clone(): AnyRef

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

  17. def divisionRing(implicit A: DivisionRing[A]): RingProperties

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  18. def emptyRuleSet: RuleSet

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    Definition Classes
    Laws

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

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    Definition Classes
    AnyRef

  20. def equals(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any

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

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

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  23. def finalize(): Unit

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

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

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    Definition Classes
    AnyRef → Any

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

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    Definition Classes
    GroupLaws

  26. def hashCode(): Int

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    Definition Classes
    AnyRef → Any

  27. final def isInstanceOf[T0]: Boolean

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    Definition Classes
    Any

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

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    Definition Classes
    GroupLaws

  29. def multiplicativeAbGroup(implicit A: MultiplicativeAbGroup[A]): MultiplicativeProperties

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  30. def multiplicativeCMonoid(implicit A: MultiplicativeCMonoid[A]): MultiplicativeProperties

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

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

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

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

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    Definition Classes
    AnyRef

  35. final def notify(): Unit

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    Definition Classes
    AnyRef

  36. final def notifyAll(): Unit

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    Definition Classes
    AnyRef

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

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

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

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

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    Definition Classes
    GroupLaws

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

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

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    Definition Classes
    AnyRef

  43. def toString(): String

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    Definition Classes
    AnyRef → Any

  44. final def wait(): Unit

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

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

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

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

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

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

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Inherited from GroupLaws[A]

Inherited from Laws

Inherited from AnyRef

Inherited from Any

Ungrouped