Results 1 to 10 of about 2,076 (239)
Bicyclic commutator quotients with one non-elementary component [PDF]
Mathematica Bohemica, 2023 For any number field $K$ with non-elementary $3$-class group ${\rm Cl}_3(K)\simeq C_{3^e}\times C_3$, $e\ge2$, the punctured capitulation type $\varkappa(K)$ of $K$ in its unramified cyclic cubic extensions $L_i$, $1\le i\le4$, is an orbit under the ...
Daniel C. Mayer
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Prime Spectrum of the Ring of Adeles of a Number Field
Mathematics, 2022 Much is known about the adele ring of an algebraic number field from the perspective of harmonic analysis and class field theory. However, its ring-theoretical aspects are often ignored.
Álvaro Serrano Holgado
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Finite torsors over strongly $F$-regular singularities [PDF]
Épijournal de Géométrie Algébrique, 2022 We investigate finite torsors over big opens of spectra of strongly $F$-regular germs that do not extend to torsors over the whole spectrum. Let $(R,\mathfrak{m},k)$ be a strongly $F$-regular $k$-germ where $k$ is an algebraically closed field of ...
Javier Carvajal-Rojas
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Projective varieties have countably many real forms
Comptes Rendus. Mathématique, 2023 In this note, we check that a complex projective algebraic variety has (at most) countably many real forms. We more generally prove it when the field of reals is replaced with a field that has only countably many finite extensions up to isomorphism.
Labinet, Timothée L.
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Underlying SUSY in a generalized Jaynes–Cummings model
Scientific Reports, 2021 We present a general qubit-boson interaction Hamiltonian that describes the Jaynes–Cummings model and its extensions as a single Hamiltonian class. Our model includes non-linear processes for both the free qubit and boson field as well as non-linear ...
F. H. Maldonado-Villamizar +3 more
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On the Computing of Symbolic 2-Plithogenic And 3-Plithogenic Complex Roots of Unity [PDF]
Neutrosophic Sets and Systems, 2023 The concept of unity roots plays a central role in the theory of field extensions and polynomials roots' computing. The objective of this paper is to find the algebraic formula for computing the symbolic 2-plithogenic and 3-plithogenic complex roots of ...
Nabil Khuder Salman
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Schrödinger Symmetry in Gravitational Mini-Superspaces
Universe, 2023 We prove that the simplest gravitational symmetry-reduced models describing cosmology and black hole mechanics are invariant under the Schrödinger group.
Jibril Ben Achour +3 more
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A CLASSIFICATION OF EXTENSIONS GENERATED BY A ROOT OF AN EISENSTEIN-DUMAS POLYNOMIAL [PDF]
Journal of Algebraic SystemsIt is known that for a discrete valuation v of a field K with value group Z, an valued extension field (K′, v′) of (K, v) is generated by a root of an Eisenstein polynomial with respect to v having coefficients in K if and only if the extension (K′, v′)/(
َAzadeh Nikseresht
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On Extensions of the Field of Constants of an Algebraic Function Field [PDF]
Proceedings of the American Mathematical Society, 1959 Verf. diskutiert die Ergebnisse einer früheren Arbeit (vgl. [Ann. Math. (2) 67, 590--606 (1958; Zbl 0083.03404)]) bei Erweiterung des Konstantenkörpers. Sind \(\Lambda\) transzendent über \(K\), \(\lambda\) algebraisch über \(k\) und \(h(\Lambda) \in k(\Lambda)\) ein irreduzibles Polynom für \(\lambda\), so definiert \(h(\Lambda)\) eine diskrete nicht ...
openaire +1 more source
On the Representation of the Lattices of the Algebraic Sets of the Universal Algebras
Известия Иркутского государственного университета: Серия "Математика", 2019 The concept of an algebraic set is a basic concept of the classical algebraic geometry over fields. This concept, along with the concept of an algebraic lattice of algebraic sets is the basic concept of so-called algebraic geometry of universal algebras.
A.G. Pinus
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