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:

    Set me as a seal upon thine heart, as a seal upon thine arm: for love is strong as death; jealousy is cruel as the grave: the coals thereof are coals of fire, which hath a most vehement flame.
    —Bible: Hebrew Song of Solomon 8:6.

    In the Greek cities, it was reckoned profane, that any person should pretend a property in a work of art, which belonged to all who could behold it.
    Ralph Waldo Emerson (1803–1882)