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The theory of lattices in the sense of order theory. For the number-theoretic notion, use the tag "lattices" instead.

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Name of a lattice-property

Faigle and Herrmann call them point-lattices. They are useful in the modular, algebraic case (Faigle embedding theorem) and also more generally in the (strongly) semi-modular algebraic case (generaliz …
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2 votes

Product-decomposition of distributive lattices

The following can surely be found in Birkoff, lattice theory. Almost surely also in Gratzer. The decompositions of a poset in finite direct products are the same as the "partitions of unity" in a ce …
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