On the Computation of Integral Closures of Cyclic Extensions of Function Fields
2007 ◽
Vol 10
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pp. 141-160
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AbstractLet S be a non-empty proper subset of the set of places of a global function field F and E a cyclic Kummer or Artin–Schreier–Witt extension of F. We present a method of efficiently computing the ring of elements of E which are integral at all places of S. As an important tool, we include an algorithmic version of the strong approximation theorem. We conclude with several examples.
2016 ◽
Vol 13
(06)
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pp. 1611-1616
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2005 ◽
Vol 21
(6)
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pp. 1269-1276
1999 ◽
Vol 100
(3)
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pp. 499-513
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