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bounded_distributive_lattices [2010/07/29 15:23]
127.0.0.1 external edit
bounded_distributive_lattices [2010/08/01 16:46] (current)
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====Definition==== ====Definition====
-A \emph{bounded distributive lattice} is a structure $\mathbf{L}=\left\langle L,\vee ,0,\wedge ,1\right\rangle$ such that+A \emph{bounded distributive lattice} is a structure $\mathbf{L}=\langle L,\vee ,0,\wedge ,1\rangle$ such that
-$\left\langle L,\vee ,\wedge \right\rangle$ is a +$\langle L,\vee ,\wedge \rangle$ is a
[[distributive lattice]] [[distributive lattice]]
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==Morphisms== ==Morphisms==
Let $\mathbf{L}$ and $\mathbf{M}$ be bounded distributive lattices. A morphism from Let $\mathbf{L}$ and $\mathbf{M}$ be bounded distributive lattices. A morphism from
-$\mathbf{L}$ to $\mathbf{M}$ is a function $h:L\rightarrow M$ that is a+$\mathbf{L}$ to $\mathbf{M}$ is a function $h:L\to M$ that is a
homomorphism: homomorphism:
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[(EHR2002> [(EHR2002>
Marcel Erne, Jobst Heitzig and J\"urgen Reinhold, \emph{On the number of distributive lattices}, Electron. J. Combin., Marcel Erne, Jobst Heitzig and J\"urgen Reinhold, \emph{On the number of distributive lattices}, Electron. J. Combin.,
-\textbf{9}, 2002,Research Paper 24, 23 pp. (electronic) +\textbf{9}, 2002, Research Paper 24, 23 pp. (electronic)
-[[MRreview]]+
)] )]