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amalgamation_property [2010/08/20 20:29]
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amalgamation_property [2010/08/20 20:30] (current)
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A class $\mathcal{K}$ of structures is said to have the A class $\mathcal{K}$ of structures is said to have the
-\emph{amalgamation property} if for every amalgam with +\emph{amalgamation property} if for every amalgam $\langle \mathbf{A},f,\mathbf{B},g,\mathbf{C}\rangle$ with
$\mathbf{A},\mathbf{B},\mathbf{C}\in\mathcal{K}$ and $A\neq\emptyset$ $\mathbf{A},\mathbf{B},\mathbf{C}\in\mathcal{K}$ and $A\neq\emptyset$
there exists a structure $\mathbf{D}\in\mathcal{K}$ and embeddings there exists a structure $\mathbf{D}\in\mathcal{K}$ and embeddings