Generating sets for rings of algebraic integers |
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Authors: | Morris Newman |
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Institution: |
a Department of Mathematics, University of California, Santa Barbara, CA |
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Abstract: | Let R be the ring of integers of some finite algebraic extension of the rationals Q of degree n. A necessary and sufficient condition for s elements of R to be an R-basis is given, in terms of the Hermite normal form of a certain n ×ns integral matrix depending on the elements, and on the structure constants of R. |
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