fractional ideal


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fractional ideal

[¦frak·shən·əl i′dēl]
(mathematics)
A submodule of the quotient field of an integral domain.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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where [G.sub.n] is the Galois group of [L.sub.n] over Q, [I.sub.Q](r) is the fractional ideal group of Q prime to r, namely,

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