Elements of posets, lattices, semilattices, etc.¶
-
class
sage.combinat.posets.elements.
JoinSemilatticeElement
(poset, element, vertex)¶ Bases:
sage.combinat.posets.elements.PosetElement
Establishes the parent-child relationship between
poset
andelement
, whereelement
is associated to the vertexvertex
of the Hasse diagram of the poset.INPUT:
poset
- a poset objectelement
- any objectvertex
- a vertex of the Hasse diagram of the poset
-
class
sage.combinat.posets.elements.
LatticePosetElement
(poset, element, vertex)¶ Bases:
sage.combinat.posets.elements.MeetSemilatticeElement
,sage.combinat.posets.elements.JoinSemilatticeElement
Establishes the parent-child relationship between
poset
andelement
, whereelement
is associated to the vertexvertex
of the Hasse diagram of the poset.INPUT:
poset
- a poset objectelement
- any objectvertex
- a vertex of the Hasse diagram of the poset
-
class
sage.combinat.posets.elements.
MeetSemilatticeElement
(poset, element, vertex)¶ Bases:
sage.combinat.posets.elements.PosetElement
Establishes the parent-child relationship between
poset
andelement
, whereelement
is associated to the vertexvertex
of the Hasse diagram of the poset.INPUT:
poset
- a poset objectelement
- any objectvertex
- a vertex of the Hasse diagram of the poset
-
class
sage.combinat.posets.elements.
PosetElement
(poset, element, vertex)¶ Bases:
sage.structure.element.Element
Establishes the parent-child relationship between
poset
andelement
, whereelement
is associated to the vertexvertex
of the Hasse diagram of the poset.INPUT:
poset
- a poset objectelement
- any objectvertex
- a vertex of the Hasse diagram of the poset