Definitions
from Wiktionary, Creative Commons Attribution/ShareAlike License
 n. A quotient of the direct product of a family of structures
Etymologies
ultra + product (Wiktionary)
Examples

ÅoÅ's theorem describes what sentences are true in an ultraproduct.

If C is a power of A then this ultraproduct is called an ultrapower of A, and it is sometimes written Uprod A.

This is indeed an equivalence relation on the domain of C, and the resulting reduced product is called an ultraproduct of the factors of

We refer the reader to the entry on firstorder model theory for the notions of direct product (called product there) and ultraproduct.

As an example, the notions of quotient, direct product, ultraproduct are defined and examined.
Comments
Log in or sign up to get involved in the conversation. It's quick and easy.