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0,1-simple lattice

In lattice theory, a bounded lattice L is called a 0,1-simple lattice if nonconstant lattice homomorphisms of L preserve the identity of its top and bottom elements. [1]

2 relations: Atom (order theory), Lattice (order).

Atom (order theory)

In the mathematical field of order theory, an element a of a partially ordered set with least element 0 is an atom if 0 0 has an atom a below it, that is, there is some a such that b ≥ a:> 0.

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Lattice (order)

In mathematics, a lattice is a partially ordered set in which every two elements have a unique supremum (also called a least upper bound or join) and a unique infimum (also called a greatest lower bound or meet).

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[1] https://en.wikipedia.org/wiki/0,1-simple_lattice

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