Amalgamation Property - Strong Amalgamation Property

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

and
where for any set X and function h on X,

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Famous quotes containing the words strong and/or property:

    “Once the decision has been reached, close your ears even to the best counter-argument: a sign of strong character. Thus an occasional will to stupidity.”
    —Friedrich Nietzsche (1844–1900)

    “Abscond. To “move” in a mysterious way, commonly with the property of another.”
    —Ambrose Bierce (1842–1914)