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Abstract
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Let
be a pure number field
generated by a root
of a
monic irreducible polynomial
,
where
is a rational
prime and
is a positive integer. We study the monogenity of
. We
illustrate our results by some computational examples.
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Keywords
Dedekind's theorem, Ore's theorem, prime ideal
factorization, Newton polygon, index of a number field,
monogenic
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Mathematical Subject Classification
Primary: 11R04, 11Y40, 11R21
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Milestones
Received: 22 January 2023
Revised: 17 February 2023
Accepted: 4 March 2023
Published: 4 June 2023
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