JP Journal of Algebra, Number Theory and Applications
Volume 34, Issue 2, Pages 139 - 150
(September 2014)
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SEXTIC EXTENSION WITH CUBIC SUBFIELD
M. E. Charkani and M. Sahmoudi
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Abstract: In this paper, we give an integral basis of sextic extensions of type which is a rational quadratic over a pure cubic field where d is a rational square free integer and b is a root of an irreducible polynomial of degree 3. As a consequence, the discriminant of L is straightforwardly computed and the index will be given immediately. |
Keywords and phrases: Dedekind ring, monogenicity, power basis, integral basis. |
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