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Algebraic Theory

  • D. P. Parent
Part of the Problem Books in Mathematics book series (PBM)

Abstract

Let L be a field; if K is a subfield of L we also say that L is an EXTENSION FIELD OF K. If L, as a vector space over K, has finite dimension n, we say that the extension L|K is a FINITE EXTENSION OF DEGREE n, and this is written n = [L:K]; otherwise we say that L|K is an INFINITE EXTENSION. If M|L and L|K are two finite extensions, M|K is then finite, and [M:K] = [M:L] x [L:K].

Keywords

Prime Number Prime Ideal Galois Group Prime Divisor Algebraic Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1984

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  • D. P. Parent

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