Integral bases and monogenity of pure number fields with non-square free parameters up to degree 9
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Publication:2689391
DOI10.2478/tmmp-2023-0006OpenAlexW4323356266MaRDI QIDQ2689391
Lhoussain El Fadil, István Gaál
Publication date: 10 March 2023
Published in: Tatra Mountains Mathematical Publications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2478/tmmp-2023-0006
Other number fields (11R21) Cubic and quartic extensions (11R16) Algebraic numbers; rings of algebraic integers (11R04)
Related Items (2)
On common index divisor and monogenity of certain number fields defined by trinomials X6 + AX + B ⋮ ON THE MONOGENITY OF TOTALLY COMPLEX PURE SEXTIC FIELDS
Cites Work
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- Binomial Thue equations and power integral bases in pure quartic fields
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- NEWTON POLYGONS AND p-INTEGRAL BASES OF QUARTIC NUMBER FIELDS
- Power integral bases for certain pure sextic fields
- Index form equations in quintic fields
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- On Newton polygons techniques and factorization of polynomials over Henselian fields
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- Newton polygons of higher order in algebraic number theory
- Computation of a power integral basis of a pure cubic number field
- A Construction for Absolute Values in Polynomial Rings
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