St000550Lattices ⟶ ℤ

The number of modular elements of a lattice.

St000551Lattices ⟶ ℤ

The number of left modular elements of a lattice.

St001613Lattices ⟶ ℤ

The binary logarithm of the size of the center of a lattice.

St001615Lattices ⟶ ℤ

The number of join prime elements of a lattice.

St001616Lattices ⟶ ℤ

The number of neutral elements in a lattice.

St001617Lattices ⟶ ℤ

The dimension of the space of valuations of a lattice.

St001618Lattices ⟶ ℤ

The cardinality of the Frattini sublattice of a lattice.

St001619Lattices ⟶ ℤ

The number of non-isomorphic sublattices of a lattice.

St001620Lattices ⟶ ℤ

The number of sublattices of a lattice.

St001621Lattices ⟶ ℤ

The number of atoms of a lattice.

St001622Lattices ⟶ ℤ

The number of join-irreducible elements of a lattice.

St001623Lattices ⟶ ℤ

The number of doubly irreducible elements of a lattice.

St001624Lattices ⟶ ℤ

The breadth of a lattice.

St001625Lattices ⟶ ℤ

The MÃ¶bius invariant of a lattice.

St001626Lattices ⟶ ℤ

The number of maximal proper sublattices of a lattice.

St001630Lattices ⟶ ℤ

The global dimension of the incidence algebra of the lattice over the rational numbers.

St001651Lattices ⟶ ℤ

The Frankl number of a lattice.

St001666Lattices ⟶ ℤ

The number of non-isomorphic subposets of a lattice which are lattices.

St001677Lattices ⟶ ℤ

The number of non-degenerate subsets of a lattice whose meet is the bottom element.

St001679Lattices ⟶ ℤ

The number of subsets of a lattice whose meet is the bottom element.

St001681Lattices ⟶ ℤ

The number of inclusion-wise minimal subsets of a lattice, whose meet is the bottom element.

St001719Lattices ⟶ ℤ

The number of shortest chains of small intervals from the bottom to the top in a lattice.

St001720Lattices ⟶ ℤ

The minimal length of a chain of small intervals in a lattice.

St001754Lattices ⟶ ℤ

The number of tolerances of a finite lattice.

St001820Lattices ⟶ ℤ

The size of the image of the pop stack sorting operator.

St001833Lattices ⟶ ℤ

The number of linear intervals in a lattice.

St001845Lattices ⟶ ℤ

The number of join irreducibles minus the rank of a lattice.

St001846Lattices ⟶ ℤ

The number of elements which do not have a complement in the lattice.

St001875Lattices ⟶ ℤ

The number of simple modules with projective dimension at most 1.

St001876Lattices ⟶ ℤ

The number of 2-regular simple modules in the incidence algebra of the lattice.

St001877Lattices ⟶ ℤ

Number of indecomposable injective modules with projective dimension 2.

St001878Lattices ⟶ ℤ

The projective dimension of the simple modules corresponding to the minimum of L in the incidence algebra of the lattice L.

St001881Lattices ⟶ ℤ

The number of factors of a lattice as a Cartesian product of lattices.