Results 21 to 30 of about 15,143 (166)

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
doaj   +1 more source

On the Genus Field in Algebraic Number Fields

Tokyo Journal of Mathematics, 1983
Sei \(K/k\) eine endliche galoissche Erweiterung algebraischer Zahlkörper, \(\mathfrak M\) ein Modul von \(K\) (der unendliche Primstellen enthalten kann), \(K(\mathfrak M)\) der Strahlklassenkörper von \(K \bmod {\mathfrak M}\), \(E/k\) die maximale abelsche Erweiterung in \(K(\mathfrak M)\) und \(K^*(\mathfrak M) = E\cdot K\); \(K^*(\mathfrak M ...
openaire   +3 more sources

A generalisation of the Steiner – Lehmus theorem and critical values transcendence of its parameters

Журнал Белорусского государственного университета: Математика, информатика
The internal n-line of a triangle is a segment from the vertex to the opposite side dividing this side into segments proportionally to the nth powers of the adjacent sides.
Maksim M. Vaskouski, Maksim A. Firsau, Palina D. Babayeva   +2 more
doaj   +1 more source

Quantum spectral curve as a tool for a perturbative quantum field theory

Nuclear Physics B, 2015
An iterative procedure perturbatively solving the quantum spectral curve of planar N=4 SYM for any operator in the sl(2) sector is presented. A Mathematica notebook executing this procedure is enclosed.
Christian Marboe, Dmytro Volin
doaj   +1 more source

Units in families of totally complex algebraic number fields

International Journal of Mathematics and Mathematical Sciences, 2004
Multidimensional continued fraction algorithms associated with GLn(ℤk), where ℤk is the ring of integers of an imaginary quadratic field K, are introduced and applied to find systems of fundamental units in families of totally complex algebraic number ...
L. Ya. Vulakh
doaj   +1 more source

Energy Management through Heat Integration: a Simple Algorithmic Approach for Introducing Pinch Analysis

Sultan Qaboos University Journal for Science, 2015
Pinch analysis is a methodology used for minimizing energy and material consumption in engineering processes. It features the identification of the pinch point and minimum external resources.
Nasser A. Al-Azri
doaj   +1 more source

Generalized Matrix Spectral Factorization with Symmetry and Construction of Quasi-Tight Framelets over Algebraic Number Fields

Mathematics
The rational field Q is highly desired in many applications. Algorithms using the rational number field Q algebraic number fields use only integer arithmetics and are easy to implement.
Ran Lu
doaj   +1 more source

A note on Fibonacci matrices of even degree

International Journal of Mathematics and Mathematical Sciences, 2001
This paper presents a construction of m-by-m irreducible Fibonacci matrices for any even m. The proposed technique relies on matrix representations of algebraic number fields which are an extension of the golden section field.
Michele Elia
doaj   +1 more source

On the quantum security of high-dimensional RSA protocol

Journal of Mathematical Cryptology
The idea of extending the classical RSA protocol using algebraic number fields was introduced by Takagi and Naito (Construction of RSA cryptosystem over the algebraic field using ideal theory and investigation of its security.
Rahmani Nour-eddine, Serraj Taoufik, Ismaili Moulay Chrif, Azizi Abdelmalek   +3 more
doaj   +1 more source

The Square-Zero Basis of Matrix Lie Algebras

Mathematics, 2020
A method is presented that allows one to compute the maximum number of functionally-independent invariant functions under the action of a linear algebraic group as long as its Lie algebra admits a basis of square-zero matrices even on a field of positive
Raúl Durán Díaz, Víctor Gayoso Martínez, Luis Hernández Encinas, Jaime Muñoz Masqué   +3 more
doaj   +1 more source