Trait/Object

DivisionRing

Related Docs: object DivisionRing | package algebra

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trait DivisionRing[A] extends Ring[A] with MultiplicativeGroup[A]

Self Type: DivisionRing[A]

Linear Supertypes

algebra.ring.MultiplicativeGroup[A], algebra.ring.Ring[A], algebra.ring.Rng[A], AdditiveCommutativeGroup[A], algebra.ring.AdditiveGroup[A], algebra.ring.Rig[A], algebra.ring.MultiplicativeMonoid[A], algebra.ring.Semiring[A], algebra.ring.MultiplicativeSemigroup[A], AdditiveCommutativeMonoid[A], AdditiveCommutativeSemigroup[A], algebra.ring.AdditiveMonoid[A], algebra.ring.AdditiveSemigroup[A], Serializable, Serializable, Any

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Inherited

DivisionRing
MultiplicativeGroup
Ring
Rng
AdditiveCommutativeGroup
AdditiveGroup
Rig
MultiplicativeMonoid
Semiring
MultiplicativeSemigroup
AdditiveCommutativeMonoid
AdditiveCommutativeSemigroup
AdditiveMonoid
AdditiveSemigroup
Serializable
Serializable
Any

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Visibility

Public
All

Abstract Value Members

abstract def div(x: A, y: A): A

Definition Classes
MultiplicativeGroup
abstract def getClass(): Class[_]

Definition Classes
Any
abstract def negate(x: A): A

Definition Classes
AdditiveGroup
abstract def one: A

Definition Classes
MultiplicativeMonoid
abstract def plus(x: A, y: A): A

Definition Classes
AdditiveSemigroup
abstract def times(x: A, y: A): A

Definition Classes
MultiplicativeSemigroup
abstract def zero: A

Definition Classes
AdditiveMonoid

Concrete Value Members

final def !=(arg0: Any): Boolean

Definition Classes
Any
final def ##(): Int

Definition Classes
Any
final def ==(arg0: Any): Boolean

Definition Classes
Any
def additive: CommutativeGroup[A]

Definition Classes
AdditiveCommutativeGroup → AdditiveCommutativeMonoid → AdditiveCommutativeSemigroup → AdditiveGroup → AdditiveMonoid → AdditiveSemigroup
final def asInstanceOf[T0]: T0

Definition Classes
Any
def equals(arg0: Any): Boolean

Definition Classes
Any
def fromBigInt(n: BigInt): A

Definition Classes
Ring
def fromDouble(a: Double): A
def fromInt(n: Int): A

Definition Classes
Ring
def hashCode(): Int

Definition Classes
Any
final def isInstanceOf[T0]: Boolean

Definition Classes
Any
def isOne(a: A)(implicit ev: algebra.Eq[A]): Boolean

Definition Classes
MultiplicativeMonoid
def isZero(a: A)(implicit ev: algebra.Eq[A]): Boolean

Definition Classes
AdditiveMonoid
def minus(x: A, y: A): A

Definition Classes
AdditiveGroup
def multiplicative: algebra.Group[A]

Definition Classes
MultiplicativeGroup → MultiplicativeMonoid → MultiplicativeSemigroup
def positivePow(a: A, n: Int): A

Attributes
protected[this]
Definition Classes
MultiplicativeSemigroup
def positiveSumN(a: A, n: Int): A

Attributes
protected[this]
Definition Classes
AdditiveSemigroup
def pow(a: A, n: Int): A

Definition Classes
MultiplicativeGroup → MultiplicativeMonoid → MultiplicativeSemigroup
def product(as: TraversableOnce[A]): A

Definition Classes
MultiplicativeMonoid
def reciprocal(x: A): A

Definition Classes
MultiplicativeGroup
def sum(as: TraversableOnce[A]): A

Definition Classes
AdditiveMonoid
def sumN(a: A, n: Int): A

Definition Classes
AdditiveGroup → AdditiveMonoid → AdditiveSemigroup
def toString(): String

Definition Classes
Any
def tryProduct(as: TraversableOnce[A]): Option[A]

Definition Classes
MultiplicativeMonoid → MultiplicativeSemigroup
def trySum(as: TraversableOnce[A]): Option[A]

Definition Classes
AdditiveMonoid → AdditiveSemigroup

Inherited from algebra.ring.MultiplicativeGroup[A]

Inherited from algebra.ring.Ring[A]

Inherited from algebra.ring.Rng[A]

Inherited from AdditiveCommutativeGroup[A]

Inherited from algebra.ring.AdditiveGroup[A]

Inherited from algebra.ring.Rig[A]

Inherited from algebra.ring.MultiplicativeMonoid[A]

Inherited from algebra.ring.Semiring[A]

Inherited from algebra.ring.MultiplicativeSemigroup[A]

Inherited from AdditiveCommutativeMonoid[A]

Inherited from AdditiveCommutativeSemigroup[A]

Inherited from algebra.ring.AdditiveMonoid[A]

Inherited from algebra.ring.AdditiveSemigroup[A]

Inherited from Serializable

Inherited from Serializable

Inherited from Any

Ungrouped