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In mathematics, particularly abstract algebra, an algebraic closure of a field K is an algebraic extension of K that is algebraically closed. It is one of many closures in mathematics.
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algebraic closure field displaystyle extension lambda separable mathematics also extensions algebraically closed fields unique within containing finite see closures isomorphism
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Algebraic closure | is a | countably infinite field that contains a copy of the field of order q n | 0.90 | text |
| Algebraic closure | related to Examples | The | 0.60 | section |
| Algebraic closure | related to Examples | There | 0.60 | section |
| Algebraic closure | related to Examples | For | 0.60 | section |
| Algebraic closure | related to Existence of an algebraic closure and splitting fields | Let | 0.60 | section |
| Algebraic closure | related to Existence of an algebraic closure and splitting fields | Lambda | 0.60 | section |
| Algebraic closure | related to Existence of an algebraic closure and splitting fields | For | 0.60 | section |
| Algebraic closure | related to Existence of an algebraic closure and splitting fields | Write | 0.60 | section |
| Algebraic closure | related to Existence of an algebraic closure and splitting fields | Since | 0.60 | section |
| Algebraic closure | related to Existence of an algebraic closure and splitting fields | Zorn's | 0.60 | section |
| Algebraic closure | related to Existence of an algebraic closure and splitting fields | The | 0.60 | section |
| Algebraic closure | related to Existence of an algebraic closure and splitting fields | R/M | 0.60 | section |
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