Type of Degreedissertation
DepartmentMathematics and Statistics
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The q^th-power algorithm from Leonard , , and Leonard and Pellikaan  is a recent and efficient method of computing the integral closure of a ring in its field of fractions. Previously, the q^th-power algorithm has been used to compute integral closures over finite fields. In this dissertation, we use the q^th-power algorithm to compute integral closures over the rationals and number elds.