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:
“And time brings down what is both strong and tall.
But plants new set to be eradicate,
And buds new blown, to have so short a date,
Is by his hand alone that guides nature and fate.”
—Anne Bradstreet (c. 1612–1672)
“Crimes increase as education, opportunity, and property decrease. Whatever spreads ignorance, poverty and, discontent causes crime.... Criminals have their own responsibility, their own share of guilt, but they are merely the hand.... Whoever interferes with equal rights and equal opportunities is in some ... real degree, responsible for the crimes committed in the community.”
—Rutherford Birchard Hayes (1822–1893)