Results 61 to 70 of about 561 (135)
Exceptional Quartics are Ubiquitous
, 2023 For each real quadratic field we constructively show the existence of infinitely many exceptional quartic number fields containing that quadratic field.
C, Aruna, Vanchinathan, P
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The monogenity of power-compositional Eisenstein polynomials [PDF]
, 2022 Lenny, Jones
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Groups associated with modules over nearrings [PDF]
, 2007 We construct a group D(I, T) associated with the pair (I, T), where I is a nontrivial distributive submodule of a left N-module G, T is a nontrivial subgroup of the unit group U(N) of a right nearring N with an identity element, and find criteria for
Artemovych, O.D., Kravets, I.V.
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Radical Dynamical Monogenicity
Journal de théorie des nombres de BordeauxLet a be an integer and p a prime so that f(x)=x p -a is irreducible. Write f n (x) to indicate the n-fold composition of f(x) with itself. We study the monogenicity of number fields defined by roots of f n (x) and give necessary and sufficient conditions for a root of f n (x) to yield a power integral basis for each n≥1.
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Geometric methods in monogenic extensions [PDF]
Un cos de nombres K és monogen si el seu anell d’enters està generat per un sol element com a Z-àlgebra. En el cas cúbic, determinar si K és monogen o no és equivalent a resoldre l’equació diofàntica |IK (X,Y )| = 1 sobre Z, on IK és la forma índex del ...
Pedret, Francesc
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On canonical number systems and monogenity of pure number fields
Let $m$ be a rational integer $(m \neq 0, \pm 1)$ and consider a pure number field $K = \mathbb{Q} (\sqrt[n]{m}) $ with $n \ge 3$. Most papers discussing the monogenity of pure number fields focus only on the case where $m$ is square-free. In this paper,
Boudine, Brahim, Yakkou, Hamid Ben
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ON THE MONOGENITY OF TOTALLY COMPLEX PURE SEXTIC FIELDS
JP Journal of Algebra Number Theory and Applications, 2023 István Gaál
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Relative power integral bases in infinite families of quartic extensions of quadratic field [PDF]
, 2017 Gaál, István, Szabó, Tímea
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