Elements of posets, lattices, semilattices, etc.

class sage.combinat.posets.elements.JoinSemilatticeElement(poset, element, vertex)

Bases: sage.combinat.posets.elements.PosetElement

Establish the parent-child relationship between poset and element, where element is associated to the vertex vertex of the Hasse diagram of the poset.

INPUT:

  • poset – a poset object
  • element – any object
  • vertex – 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

Establish the parent-child relationship between poset and element, where element is associated to the vertex vertex of the Hasse diagram of the poset.

INPUT:

  • poset – a poset object
  • element – any object
  • vertex – a vertex of the Hasse diagram of the poset
class sage.combinat.posets.elements.MeetSemilatticeElement(poset, element, vertex)

Bases: sage.combinat.posets.elements.PosetElement

Establish the parent-child relationship between poset and element, where element is associated to the vertex vertex of the Hasse diagram of the poset.

INPUT:

  • poset – a poset object
  • element – any object
  • vertex – a vertex of the Hasse diagram of the poset
class sage.combinat.posets.elements.PosetElement(poset, element, vertex)

Bases: sage.structure.element.Element

Establish the parent-child relationship between poset and element, where element is associated to the vertex vertex of the Hasse diagram of the poset.

INPUT:

  • poset – a poset object
  • element – any object
  • vertex – a vertex of the Hasse diagram of the poset