algebraically closed field
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algebraically closed field [¦al·jə¦brā·ik·lē ¦klōzd ′fēld]

(mathematics)

A fieldFsuch that every polynomial of degree equal to or greater than 1 with coefficients inFhas a root inF.

A fieldFis said to be algebraically closed in an extension fieldKif any root inKof a polynominal with coefficients inFalso lies inF. Also known as algebraically complete field.

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No references found			He describes local and global duality in the special case of irreducible algebraic varieties of an algebraically closed base field k in terms of differential forms and their residues. Residues and duality for projective algebraic varieties by SciTech Book News 145 QA9 This book provides a detailed presentation of the classification of the simple groups of finite Morley rank which contain a nontrivial unipotent 2-subgroup (linear algebraic groups over algebraically closed fields of characteristic two). Simple groups of finite Morley rank by SciTech Book News 139 QA268 This graduate textbook introduces the theory of error-correcting codes, working over an arbitrary finite field; algebraic curves, working over an algebraically closed field; geometry over a finite field; and constructions of algebraic geometry codes. Algebraic geometry codes; basic notions by SciTech Book News			Algebraic Integer Algebraic Interpretive Dialogue algebraic invariant algebraic K theory algebraic language Algebraic Logic Functional language algebraic manipulation language Algebraic Manipulation Package Algebraic Number algebraic number field algebraic number theory algebraic object algebraic operation Algebraic Ring algebraic scattering theory algebraic set Algebraic Specification Language algebraic structure algebraic subtraction algebraic sum algebraic surface algebraic symbol algebraic term algebraic topology algebraic variety Algebraically closed algebraically closed field algebraically complete field algebraically independent Algeciras Algeciras Conference alged malaria Algenib Alger County Alger, Horatio Alger, Horatio, Jr. Alger, Russell Alexander Algeria Algeria Independence Day Algeria National Day Algerian Algerian Communist Party ACP Algerian onyx Algerian Reformist 'Ulama', Association Algerian War Algerians Algerine War Algernon Charles Swinburne algesia algesimeter algesiroreceptor			Algebraic structure Algebraic structures algebraic subtraction Algebraic subvariety Algebraic sum Algebraic sum Algebraic surface Algebraic surfaces algebraic symbol Algebraic system algebraic term Algebraic Topological Methods in Computer Science Algebraic topology Algebraic Translator & Compiler Algebraic type Algebraic varieties Algebraic variety Algebraic Video Environment Algebraic, Extremal and Metric Combinatorics Algebraic-Code Excited Linear Prediction Algebraic-Geometric Code Algebraic-Geometric Modular Code algebraical algebraical Algebraical curve Algebraical curve algebraically algebraically Algebraically closed Algebraically closed field algebraically complete field Algebraically independent Algebraically Punctured Cyclic Code Algebraically special Algebraics Algebraics algebraist algebraist algebraists algebraists Algebraize Algebras Algebras Algeciras Algeciras Algeciras Conference Algeciras Conference Algeciras, Cádiz Algeciras, Cádiz Algeciras, Spain Algeciras, Spain alged malaria algefacient ALGEHR Algeirs Algeirs ALGEM Algemeen Algemeen Belgisch Vakverbond

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algebraically closed field (redirected from Algebraically closed)

algebraically closed field
(redirected from Algebraically closed)