algebra.laws

RingLaws

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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Type Members

  1. class AdditiveProperties extends RuleSet

  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

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

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

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

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

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

  14. final def asInstanceOf[T0]: T0

    Definition Classes
    Any

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

    Definition Classes
    GroupLaws

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

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

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

    Definition Classes
    GroupLaws

  19. def clone(): AnyRef

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

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

    Definition Classes
    GroupLaws

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

    Definition Classes
    GroupLaws

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

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

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

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

    Definition Classes
    GroupLaws

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

  27. def emptyRuleSet: RuleSet

    Definition Classes
    Laws

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

    Definition Classes
    AnyRef

  29. def equals(arg0: Any): Boolean

    Definition Classes
    AnyRef → Any

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

  31. def finalize(): Unit

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

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

    Definition Classes
    AnyRef → Any

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

    Definition Classes
    GroupLaws

  34. def hashCode(): Int

    Definition Classes
    AnyRef → Any

  35. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any

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

    Definition Classes
    GroupLaws

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

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

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

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

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

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

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

    Definition Classes
    AnyRef

  44. final def notify(): Unit

    Definition Classes
    AnyRef

  45. final def notifyAll(): Unit

    Definition Classes
    AnyRef

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

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

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

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

    Definition Classes
    GroupLaws

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

    Definition Classes
    GroupLaws

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

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

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

    Definition Classes
    AnyRef

  54. def toString(): String

    Definition Classes
    AnyRef → Any

  55. final def wait(): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

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

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

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

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

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

Inherited from GroupLaws[A]

Inherited from Laws

Inherited from AnyRef

Inherited from Any

Ungrouped