In fact, one can even show that every free lattice on three generators contains a sublattice which is free for a set of four generators.
12.
The terms "'order ideal "'or "'lattice because a lower set of a lattice is not necessarily a sublattice.
13.
Note that the vacancy on the Mg sublattice site has a " 2 effective charge, and the vacancy on the oxygen sublattice site has a + 2 effective charge.
14.
Note that the vacancy on the Mg sublattice site has a " 2 effective charge, and the vacancy on the oxygen sublattice site has a + 2 effective charge.
15.
It has, as a sublattice, the free lattice in four generators, and, by induction, as a sublattice, the free lattice in a countable number of generators.
16.
It has, as a sublattice, the free lattice in four generators, and, by induction, as a sublattice, the free lattice in a countable number of generators.
17.
Co 2 acts on the 23-dimensional even integral lattice with no roots of determinant 4, given as a sublattice of the Leech lattice orthogonal to a norm 4 vector.
18.
Therefore, every sublattice of the lattice of linear terms that doesn't contain ? is isomorphic to a set lattice, and hence distributive ( see pic . 5 ).
19.
The lattice corresponding to ideal I \ subset R, denoted by \ mathfrak { L } _ I, is a sublattice of \ Z ^ n, and is defined as
20.
*PM : normal subgroups form sublattice of a subgroup lattice, id = 7770 new !-- WP guess : normal subgroups form sublattice of a subgroup lattice-- Status:
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