Results 31 to 40 of about 1,088,832 (269)

Relative integral basis for algebraic number fields

International Journal of Mathematics and Mathematical Sciences, 1986
At first conditions are given for existence of a relative integral basis for OK≅Okn−1⊕I with [K;k]=n. Then the constrtiction of the ideal I in OK≅Okn−1⊕I is given for proof of existence of a relative integral basis for OK4(m1,m2)/Ok(​m3).
Mohmood Haghighi
doaj   +1 more source

On the strongly ambiguous classes of some biquadratic number fields [PDF]

Mathematica Bohemica, 2016
We study the capitulation of $2$-ideal classes of an infinite family of imaginary bicyclic biquadratic number fields consisting of fields $\Bbbk=\Bbb Q(\sqrt{2pq}, {\rm i})$, where ${\rm i}=\sqrt{-1}$ and $p\equiv-q\equiv1 \pmod4$ are different primes ...
Abdelmalek Azizi, Abdelkader Zekhnini, Mohammed Taous   +2 more
doaj   +1 more source

Generators and number fields for torsion points of a special elliptic curve [PDF]

Arab Journal of Mathematical Sciences, 2020
Let E be an elliptic curve with Weierstrass form y2=x3−px, where p is a prime number and let E[m] be its m-torsion subgroup. Let p1=(x1,y1) and p2=(x2,y2) be a basis for E[m], then we prove that ℚ(E[m])=ℚ(x1,x2,ξm,y1) in general.
Hasan Sankari, Mustafa Bojakli
doaj   +1 more source

A conductor formula for Abelian number fields

四川大学学报. 自然科学版, 2023
In this article, based on Kronecker-Weber theorem we explicitly give a conductor formula for the Abelian number fields in terms of the ramification indices. Particularly, the conductor of a quadratic number field can be easily deduced from this formula.
DENG Xian-Tao, PENG Guo-Hua
doaj  

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

Real quadratic number fields with metacyclic Hilbert $2$-class field tower [PDF]

Mathematica Bohemica, 2019
We begin by giving a criterion for a number field $K$ with 2-class group of rank 2 to have a metacyclic Hilbert 2-class field tower, and then we will determine all real quadratic number fields $\mathbb Q(\sqrt d)$ that have a metacyclic nonabelian ...
Said Essahel, Ahmed Dakkak, Ali Mouhib
doaj   +1 more source

Are Fertility Preservation Procedures Before Gonadotoxic Therapy and Hematopoietic Stem Cell Transplantation Feasible and Safe in Very Young Children? A Retrospective Cohort Study

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Fertility preservation (FP) is increasingly integrated into the care of pediatric patients exposed to gonadotoxic therapy or conditioning for hematopoietic stem cell transplantation (HSCT), yet perioperative data in infants and toddlers remain scarce.
Kerstin Saalabian, Yannick Braun, Till‐Martin Theilen, Anke Barnbrock, Theresa Rohm, Fabienne Hammant, Nicole Sänger, Aynura Abbasova‐Semiz, Jan‐Henning Klusmann, Thomas Klingebiel, Udo Rolle, Peter Bader, Henning C. Fiegel, Andrea Jarisch   +13 more
wiley   +1 more source

Conway’s field of surreal numbers [PDF]

Transactions of the American Mathematical Society, 1985
Conway introduced the Field N o {\mathbf {No}}
openaire   +2 more sources

Guidelines for Pediatric Radiotherapy Simulation: A Report From the Children's Oncology Group Radiation Oncology Discipline

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Pediatric radiation therapy presents unique challenges compared to adult treatments, including those of immobilization, potential need for sedation, and the critical importance of accurate, reproducible positioning. Additionally, heightened attention to imaging doses is necessary to minimize long‐term toxicity in survivors.
Parham Alaei, Stephen Mihalcik, Sujith Baliga, Young Kwok, Dana Casey, Eric Ehler, Christiane Burton, John C. Breneman, Daphne A. Haas‐Kogan, Suzanne L. Wolden, Arnold C. Paulino, Nadia N. Laack, Natia Esiashvili, Sarah Milgrom, Christine Hill‐Kayser, Thomas J. Fitzgerald, John A. Kalapurakal, Chia‐Ho Hua   +17 more
wiley   +1 more source

Computing quadratic subfields of number fields

Journal of Computational Algebra
Given a number field, it is an important question in algorithmic number theory to determine all its subfields. If the search is restricted to abelian subfields, we can try to determine them by using class field theory.
Andreas-Stephan Elsenhans, Jürgen Klüners   +1 more
doaj   +1 more source