Thus both normal skew lattices and split skew lattices form varieties.
2.
Furthermore, every complemented distributive lattice forms a Boolean algebra, and conversely every Boolean algebra forms a complemented distributive lattice.
3.
The square lattice form can be seen with circles that line up horizontally and vertically, while intersecting on their diagonals.
4.
The triangular lattice form, with circle radii equal to their separation is called a "'seven overlapping circles grid " '.
5.
Most solid matter can be roughly classified as either " glassy, " in which atoms are jumbled together without any order, or crystalline, in which atoms arrayed in lattices form regularly repeating patterns.
6.
In the category of partially ordered sets and monotonic functions between partially ordered sets, the complete lattices form the injective objects for order-embeddings, and the Dedekind MacNeille completion of is the injective hull of.
7.
In a Boolean algebra, or more generally a distributive lattice, the median function \ langle x, y, z \ rangle = ( x \ vee y ) \ wedge ( y \ vee z ) \ wedge ( z \ vee x ) satisfies these axioms, so that every Boolean algebra and every distributive lattice forms a median algebra.
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