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,
Read more about this topic: Amalgamation Property
Famous quotes containing the words strong and/or property:
“Women have their heads in their hearts. Man seems to have been destined for a superior being; as things are, I think women generally better creatures than men. They have weaker appetites and weaker intellects but much stronger affections. A man with a bad heart has been sometimes saved by a strong head; but a corrupt woman is lost forever.”
—Samuel Taylor Coleridge (1772–1834)
“The diversity in the faculties of men, from which the rights of property originate, is not less an insuperable obstacle to a uniformity of interests. The protection of these faculties is the first object of government.”
—James Madison (1751–1836)