Amalgamation Property - Strong Amalgamation Property

A class K of structures has the strong amalgamation property (SAP) if for every amalgam with A,B,CK there exist both a structure DK and embeddings f': BD, g': CD such that

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

Read more about this topic:  Amalgamation Property

Famous quotes containing the words strong and/or property:

    The fact that I have no remedy for all the sorrows of the world is no reason for my accepting yours. It simply supports the strong probability that yours is a fake.
    —H.L. (Henry Lewis)

    It is clearly better that property should be private, but the use of it common; and the special business of the legislator is to create in men this benevolent disposition.
    Aristotle (384–322 B.C.)