Encyclopedia

algebraic closure of a field

algebraic closure of a field

[¦al·jə¦brā·ik ′klō·zhər əv ə ′fēld]
(mathematics)
An algebraic extension field which has no algebraic extensions but itself.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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