*PM : normal subgroups form sublattice of a subgroup lattice, id = 7770 new !-- WP guess : normal subgroups form sublattice of a subgroup lattice-- Status:
22.
In magnetically ordered materials, the electrical resistance is crucially affected by scattering of electrons on the magnetic sublattice of the crystal, which is formed by crystallographically equivalent atoms with nonzero magnetic moments.
23.
In general, there is no restriction on the shape of the lattice of subgroups, in the sense that every lattice is isomorphic to a sublattice of the subgroup lattice of some group.
24.
In this correspondence, the index 2 sublattice of the even vectors of the lattice " L " is isomorphic to the orthogonal complement of the vector " v ".
25.
Since " N " 5 is a sublattice of " S " 7, it follows that the M-symmetric lattices do not form a subvariety of the variety of lattices.
26.
However, although it is a subset of the lattice of all partitions, it is " not " a sublattice of the lattice of all partitions, because the join operations do not agree.
27.
As further observes, the Young Fibonacci lattice is distributive; however, the sublattice formed by the strings { 21, 22, 121, 211, 221 } forms a diamond sublattice, forbidden in distributive lattices.
28.
As further observes, the Young Fibonacci lattice is distributive; however, the sublattice formed by the strings { 21, 22, 121, 211, 221 } forms a diamond sublattice, forbidden in distributive lattices.
29.
The events x _ i generate a sublattice of the Hilbert space which is a finite Boolean algebra, and if " n " is the dimension of the Hilbert space, then each event is an atom.
30.
In pure Ni 3 Al phase atoms of aluminium are placed at the vertices of the cubic cell and form the sublattice A . Atoms of nickel are located at centers of the faces and form the sublattice B . The phase is not strictly stoichiometric.
