Results 31 to 40 of about 1,802,873 (349)
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 Soient ℓ et ℓ' deux nombres premiers distincts, k = Q(√ℓℓ') et k∞ la Z2-extension cyclotomique de k. Soient L∞ la 2-extension maximale non ramifiée sur k∞ et L∞ la sous-extension abélienne maximale de L∞/k∞.
Mouhib Ali
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On the Content Bound for Real Quadratic Field Extensions
Axioms, 2012 Let K be a finite extension of Q and let S = {ν} denote the collection of K normalized absolute values on K. Let V+K denote the additive group of adeles over K and let K ≥0 c : V + → R denote the content map defined as c({aν }) = Q K ν ∈S ν (aν ) for
Robert G. Underwood
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First-Degree Prime Ideals of Biquadratic Fields Dividing Prescribed Principal Ideals
Mathematics, 2020 We describe first-degree prime ideals of biquadratic extensions in terms of the first-degree prime ideals of two underlying quadratic fields. The identification of the prime divisors is given by numerical conditions involving their ideal norms.
Giordano Santilli, Daniele Taufer
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Nonlinear evolution of water waves and their dispersion relation in coastal waters [PDF]
Theoretical and Applied Mechanics, 2023 Preliminary results of the derivation of a new phase-resolving (deterministic) spatio-temporal nonlinear model of water wave evolution in nondeep waters with constant bathymetry are presented in this paper. The model is the first of its kind to include a
Vrećica Teodor, Toledo Yaron
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Combinatorics on Finite Fields: the Sign Repartition for the Quadratic Residues
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 In the present paper we present the equivalence between the combinatorial determination of the sign repartition for the quadratic residues and non-residues to the computation of the class number of certain quadratic extensions of the field of rationals.
Bărcănescu Şerban
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On the Schmidt Subspace Theorem [PDF]
, 2012 We study extensions and generalizations of the Schmidt Subspace Theorem in various settings. In particular, we prove results for algebraic points of bounded degree, giving a sharp version of Schmidt's theorem for quadratic points in the projective plane ...
Levin, Aaron
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On quadratic Ostrowski extensions of imaginary quadratic fields
The Ramanujan Journal, 2022 Abstract In this paper we discuss an analogue of Hilbert’s theorems 105 and106, i.e. a re-interpretation of Gauss’ “genus theory”, for imaginary quadratic fields of class number one. We explicitly compute all biquadratic fields whose ambiguous ideal classes over an imaginary quadratic field of class number one are principal.
Naroui, Razieh, Rajaei, Ali
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Quadratic subfields on quartic extensions of local fields
International Journal of Mathematics and Mathematical Sciences, 1988 We show that any quartic extension of a local field of odd residue characteristic must contain an intermediate field. A consequence of this is that local fields of odd residue characteristic do not have extensions with Galois group A4 or S4 ...
Joe Repka
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New boundary conditions for integrable lattices [PDF]
, 1995 New boundary conditions for integrable nonlinear lattices of the XXX type, such as the Heisenberg chain and the Toda lattice are presented. These integrable extensions are formulated in terms of a generic XXX Heisenberg magnet interacting with two ...
Baxter R J +19 more
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Some homological properties of skew PBW extensions arising in non-commutative algebraic geometry
Discussiones Mathematicae - General Algebra and Applications, 2017 In this short paper we study for the skew PBW (Poincar-Birkhoff-Witt) extensions some homological properties arising in non-commutative algebraic geometry, namely, Auslander-Gorenstein regularity, Cohen-Macaulayness and strongly noetherianity.
Lezama Oswaldo
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