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:

    In the schoolroom her quick mind had taken readily that strong starch of unexplained rules and disconnected facts which saves ignorance from any painful sense of limpness.
    George Eliot [Mary Ann (or Marian)

    Let the amelioration in our laws of property proceed from the concession of the rich, not from the grasping of the poor. Let us understand that the equitable rule is, that no one should take more than his share, let him be ever so rich.
    Ralph Waldo Emerson (1803–1882)