Power Integral Bases in Orders of Composite Fields
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Publication:4804805
DOI10.1080/10586458.2002.10504471zbMath1020.11064OpenAlexW2032611031MaRDI QIDQ4804805
István Gaál, Péter Olajos, Michael E. Pohst
Publication date: 1 October 2003
Published in: Experimental Mathematics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.em/1057860317
Algebraic numbers; rings of algebraic integers (11R04) Multiplicative and norm form equations (11D57)
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On monogenity of certain pure number fields defined by $$x^{{2}^{u}.3^{v}} - m$$ ⋮ Nonmonogenity of number fields defined by trinomials ⋮ Integral bases and monogenity of the simplest sextic fields ⋮ Power integral bases for certain pure sextic fields ⋮ On power integral bases of certain pure number fields defined by $x^{3^r\cdot 7^s}-m$ ⋮ On nonmonogenic number fields defined by ⋮ On power integral bases of certain pure number fields defined by $x^{84}-m$ ⋮ On monogenity of certain pure number fields defined by $x^{2^r\cdot7^s}-m$ ⋮ On nonmonogenic algebraic number fields ⋮ Non-monogenity of some number fields generated by binomials or trinomials of prime-power degree ⋮ Integral Bases and Monogenity of Composite Fields ⋮ On biquadratic fields that admit unit power integral basis ⋮ On unit power integral bases of \(\mathbb Z[\root 4 \of {m}\)] ⋮ Monogenity of totally real algebraic extension fields over a cyclotomic field ⋮ Calculating power integral bases by using relative power integral bases ⋮ On power integral bases for certain pure number fields defined by x2r.5s−m ⋮ On monogenity of certain pure number fields defined by xpr − m ⋮ On integral bases and monogeneity of pure sextic number fields with non-squarefree coefficients ⋮ On monogenity of certain pure number fields defined by \(x^{20}-m\) ⋮ On power integral bases for certain pure number fields defined by $x^{2\cdot 3^k}-m$
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