A class K of structures has the strong amalgamation property (SAP) if for every amalgam with A,B,C ∈ K there exist both a structure D ∈ K and embeddings f': B → D, g': C → D such that
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- where for any set X and function h on X,
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Famous quotes containing the words strong and/or property:
“In using the strong hand, as now compelled to do, the government has a difficult duty to perform. At the very best, it will by turns do both too little and too much. It can properly have no motive of revenge, no purpose to punish merely for punishment’s sake. While we must, by all available means, prevent the overthrow of the government, we should avoid planting and cultivating too many thorns in the bosom of society.”
—Abraham Lincoln (1809–1865)
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—Georg Wilhelm Friedrich Hegel (1770–1831)