Trait/Object

algebra.laws

RingLaws

Related Docs: object RingLaws | package laws

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trait RingLaws[A] extends GroupLaws[A]

Self Type
RingLaws[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
  2. All

Type Members

  1. class AdditiveProperties extends RuleSet

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  2. class DefaultRuleSet extends RuleSet with HasOneParent

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    Definition Classes
    Laws

  3. class GroupProperties extends RuleSet

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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 additiveCommutativeGroup(implicit A: AdditiveCommutativeGroup[A]): AdditiveProperties

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

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

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

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

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

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  12. final def asInstanceOf[T0]: T0

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    Definition Classes
    Any

  13. def band(implicit A: cats.kernel.Band[A]): GroupProperties

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    Definition Classes
    GroupLaws

  14. def boolRing(implicit A: BoolRing[A]): RingProperties

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  15. def boolRng(implicit A: BoolRng[A]): RingProperties

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

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    Definition Classes
    GroupLaws

  17. def clone(): AnyRef

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

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

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    Definition Classes
    GroupLaws

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

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    Definition Classes
    GroupLaws

  20. def commutativeRig(implicit A: CommutativeRig[A]): RingProperties

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  21. def commutativeRing(implicit A: CommutativeRing[A]): RingProperties

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  22. def commutativeRng(implicit A: CommutativeRng[A]): RingProperties

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  23. def commutativeSemigroup(implicit A: cats.kernel.CommutativeSemigroup[A]): GroupProperties

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    Definition Classes
    GroupLaws

  24. def commutativeSemiring(implicit A: CommutativeSemiring[A]): RingProperties

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  25. def emptyRuleSet: RuleSet

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    Definition Classes
    Laws

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

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    Definition Classes
    AnyRef

  27. def equals(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any

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

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  29. def finalize(): Unit

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

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

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    Definition Classes
    AnyRef → Any

  31. def group(implicit A: cats.kernel.Group[A]): GroupProperties

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    Definition Classes
    GroupLaws

  32. def hashCode(): Int

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    Definition Classes
    AnyRef → Any

  33. final def isInstanceOf[T0]: Boolean

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    Definition Classes
    Any

  34. def monoid(implicit A: cats.kernel.Monoid[A]): GroupProperties

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    Definition Classes
    GroupLaws

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

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  36. def multiplicativeCommutativeMonoid(implicit A: MultiplicativeCommutativeMonoid[A]): MultiplicativeProperties

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  37. def multiplicativeCommutativeSemigroup(implicit A: MultiplicativeCommutativeSemigroup[A]): MultiplicativeProperties

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

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

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

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

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    Definition Classes
    AnyRef

  42. final def notify(): Unit

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    Definition Classes
    AnyRef

  43. final def notifyAll(): Unit

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    Definition Classes
    AnyRef

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

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

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

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  47. def semigroup(implicit A: cats.kernel.Semigroup[A]): GroupProperties

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    Definition Classes
    GroupLaws

  48. def semilattice(implicit A: cats.kernel.Semilattice[A]): GroupProperties

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    Definition Classes
    GroupLaws

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

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  50. def setNonZeroParents(props: GroupProperties, parents: Seq[GroupProperties]): GroupProperties

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

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    Definition Classes
    AnyRef

  52. def toString(): String

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    Definition Classes
    AnyRef → Any

  53. final def wait(): Unit

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

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

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

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

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

  56. def withPred(pred0: 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