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:

    He shall separate himself from wine and strong drink, and shall drink no vinegar of wine, or vinegar of strong drink, neither shall he drink any liquor of grapes, nor eat moist grapes, or dried.
    Bible: Hebrew Numbers 6:3.

    I must feel pride in my friend’s accomplishments as if they were mine,—and a property in his virtues. I feel as warmly when he is praised, as the lover when he hears applause of his engaged maiden.
    Ralph Waldo Emerson (1803–1882)