# Differences

This shows you the differences between two versions of the page.

bilattices [2012/06/16 00:16] jipsen |
bilattices [2012/06/16 00:18] (current) jipsen |
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====Definition==== | ====Definition==== | ||

- | A \emph{bilattice} is a structure $\mathbf{L}=\langle L,\vee,\wedge,\oplus,\otimes,\neg,rangle$ such that | + | A \emph{bilattice} is a structure $\mathbf{L}=\langle L,\vee,\wedge,\oplus,\otimes,\neg\rangle$ such that |

$\langle L,\vee,\wedge\rangle $ is a [[lattice]], | $\langle L,\vee,\wedge\rangle $ is a [[lattice]], | ||

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==Morphisms== | ==Morphisms== | ||

- | Let $\mathbf{L}$ and $\mathbf{M}$ be bounded lattices. A morphism from $\mathbf{L}$ to $\mathbf{M}$ is a function $h:L\rightarrow M$ that is a | + | Let $\mathbf{L}$ and $\mathbf{M}$ be bilattices. A morphism from $\mathbf{L}$ to $\mathbf{M}$ is a function $h:L\rightarrow M$ that is a |

homomorphism: | homomorphism: | ||

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f(9)= &\\ | f(9)= &\\ | ||

f(10)= &\\ | f(10)= &\\ | ||

+ | \end{array}$ | ||

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