Elements of posets, lattices, semilattices, etc.

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

Bases: PosetElement

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

Bases: MeetSemilatticeElement, JoinSemilatticeElement

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

Bases: PosetElement

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

Bases: 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