Definitions
from Wiktionary, Creative Commons Attribution/Share-Alike License.
- noun mathematics A
quotient of the directproduct of a family ofstructures
Etymologies
from Wiktionary, Creative Commons Attribution/Share-Alike License
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Examples
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ÅoÅ's theorem describes what sentences are true in an ultraproduct.
First-order Model Theory Hodges, Wilfrid 2009
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If C is a power of A then this ultraproduct is called an ultrapower of A, and it is sometimes written U-prod A.
First-order Model Theory Hodges, Wilfrid 2009
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This is indeed an equivalence relation on the domain of C, and the resulting reduced product is called an ultraproduct of the factors of
First-order Model Theory Hodges, Wilfrid 2009
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We refer the reader to the entry on first-order model theory for the notions of direct product (called product there) and ultraproduct.
Propositional Consequence Relations and Algebraic Logic Jansana, Ramon 2006
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As an example, the notions of quotient, direct product, ultraproduct are defined and examined.
Citizendium, the Citizens' Compendium - Recent changes [en] 2009
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As an example, the notions of quotient, direct product, ultraproduct are defined and examined.
Citizendium, the Citizens' Compendium - Recent changes [en] 2009
-
As an example, the notions of quotient, direct product, ultraproduct are defined and examined.
Citizendium, the Citizens' Compendium - Recent changes [en] 2009
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