Fruit ketchup Fruit ketchup Fruit ketchup is a condiment prepared using fruit as a primary ingredient. Various fruits are used in its preparation, and it is also used as a spread and marinade, among other uses. Banana ketchup is a type of fruit ketchup that is common in the Philippines. Some companies mass-produce fruit ketchup, such as Philippines-based Jufran, and Chups, a small company based in Washington, D.C., United States. Fruit ketchup is composed primarily of fruit, and is prepared with fruits such as apples, pears, peaches, currants, grapes, cranberries, cherries and plums, among others. Tropical fruits used in its preparation can
Algebraic variety algebraic sets. Using the Nullstellensatz and related results, mathematicians have established a strong correspondence between questions on algebraic sets and questions of ring theory. This correspondence is a defining feature of algebraic geometry. An "affine variety" over an algebraically closed field is conceptually the easiest type of variety to define, which will be done in this section. Next, one can define projective and quasi-projective varieties in a similar way. The most general definition of a variety is obtained by patching together smaller quasi-projective varieties. It is not obvious that one can construct genuinely new examples of varieties in this way,