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| | PlanetMath: extension field (Site not responding. Last check: 2007-11-07) |
 | | The term “degree” reflects the fact that, in the more general setting of Dedekind domains and scheme-theoretic algebraic curves, the degree of an extension of function fields equals the algebraic degree of the polynomial defining the projection map of the underlying curves. |
 | | Cross-references: multiplicative, words, states, theorems, projection map, polynomial, function fields, curves, algebraic, Dedekind domains, term, dimension, vector space, subfield, field |
 | | This is version 7 of extension field, born on 2001-11-08, modified 2005-02-15. |
| planetmath.org /encyclopedia/Extension.html (246 words) |
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