algebraic extension of a field

algebraic extension of a field

[¦al·jə¦brā·ik ik′sten·shən əv ə ′fēld]
(mathematics)
A field which contains both the given field and all roots of polynomials with coefficients in the given field.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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