trait PartialAction[P, G] extends LeftPartialAction[P, G] with RightPartialAction[P, G]

A partial action is the combination of left and right partial actions, providing:

- a method partialActl(g, p), or g ?|+|> p returning Opt[P], such that:

1. for all g, h in G, p in P such that g |+|? h and h ?|+|> p are defined,

((g |+|? h).get ?|+|> p).get === (g ?|+|> (h ?|+|> p).get).get with all operations defined.

  • a method partialActr(p, g), or p <|+|? g returning Opt[P], such that:

2. for all g, h in G, p in P such that g |+|? h and p <|+|? g are defined,

(p <|+|? (g |+|? h).get).get === ((p <|+|? g).get |+|? h).get, and all operations are defined.

In addition, if G is a groupoid, the following relations holds:

3. for all g in G and p in P such that g ?|+|> p is defined:

(g.rightId ?|+|> p).get === p, the operation ?|+|> being defined.

4. for all g in G and p in P such that p <|+|? g is defined:

(p <|+|? g.leftId).get === p, the operation <|+|? being defined.

5. for all g in G and p in P such that g ?|+|> p is defined:

(g ?|+|> p).get === (p <|+|? g.inverse).get

Linear Supertypes
RightPartialAction[P, G], LeftPartialAction[P, G], Any
Known Subclasses
MapIntIntSeqPartialAction
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Inherited
  1. PartialAction
  2. RightPartialAction
  3. LeftPartialAction
  4. Any
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Abstract Value Members

  1. abstract def getClass(): Class[_]
    Definition Classes
    Any
  2. abstract def partialActl(g: G, p: P): Opt[P]
    Definition Classes
    LeftPartialAction
  3. abstract def partialActr(p: P, g: G): Opt[P]
    Definition Classes
    RightPartialAction

Concrete Value Members

  1. final def !=(arg0: Any): Boolean
    Definition Classes
    Any
  2. final def ##(): Int
    Definition Classes
    Any
  3. final def ==(arg0: Any): Boolean
    Definition Classes
    Any
  4. def actlIsDefined(g: G, p: P): Boolean
    Definition Classes
    LeftPartialAction
  5. def actrIsDefined(p: P, g: G): Boolean
    Definition Classes
    RightPartialAction
  6. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  7. def equals(arg0: Any): Boolean
    Definition Classes
    Any
  8. def hashCode(): Int
    Definition Classes
    Any
  9. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  10. def toString(): String
    Definition Classes
    Any

Inherited from RightPartialAction[P, G]

Inherited from LeftPartialAction[P, G]

Inherited from Any

Ungrouped