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:
“At present, man applies to nature but half his force. He works on the world with his understanding alone. He lives in it, and masters it by a penny-wisdom; and he that works most in it, is but a half-man, and whilst his arms are strong and his digestion good, his mind is imbruted, and he is a selfish savage.”
—Ralph Waldo Emerson (1803–1882)
“A few days later the younger son gathered all he had and traveled to a distant country, and there he squandered his property in dissolute living.”
—Bible: New Testament, Luke 15:13.