Results 21 to 30 of about 354 (175)
Solutions of Some Kandasamy-Smarandache Open Problems About the Algebraic Structure of Neutrosophic Complex Finite Numbers [PDF]
, 2023 The aim of this paper is to study the neutrosophic complex finite rings () (), and to give a classification theorem of these rings. Also, this work introduces full solutions for 12 Kandasamy-Smarandache open problems concerning these structures of ...
Basheer Abd Al Rida Sadiq +1 more
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An arithmetic site for the rings of integers of algebraic number fields
Inventiones mathematicae, 1996 Let \(K\) be an algebraic number field and \(S\) a finite set of primes of \(K\) containing the infinite primes and the primes dividing a given prime number \(p\). Let \(G_S (p)\) be the Galois group of the maximal \(p\)-extension of \(K\) unramified outside \(S\).
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Advanced Intelligent Discovery, EarlyView.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley +1 more source
Functional Equations Associated to Collatz-Type Maps on Integer Rings of Algebraic Number Fields
, 2021 Withdrawn due to an error in section three, where the structure of the quotient of a ring of algebraic integers modulo an ideal thereof was not incorrectly ...
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Long‐Range Interactions in Topological Superconducting Systems: A Mini Review
Advanced Physics Research, EarlyView.Long‐range interacting quantum systems are surveyed in this review, with an emphasis on the long‐range topological superconductor and its variants. Long‐range interactions decaying in a power‐law manner can lead to exotic phenomena that finds no analogue in short‐range regimes.
Juntong Ren, Haifeng Lü
wiley +1 more source
Frieze patterns over algebraic numbers
, 2023 Conway and Coxeter have shown that frieze patterns over positive rational integers are in bijection with triangulations of polygons. An investigation of frieze patterns over other subsets of the complex numbers has recently been initiated by Jorgensen ...
Pagano, Carlo +2 more
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A generalization of the LLL-algorithm over euclidean rings or orders [PDF]
, 1996 . Numerous important lattices (D 4 , E8 , the Coxeter-Todd lattice K12 , the Barnes-Wall lattice 16 , the Leech lattice 24 , as well as the 2-modular 32-dimensional lattices found by Quebbemann and Bachoc) possess algebraic structures over various ...
Huguette Napias, Napias, Huguette
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Earthquake Engineering &Structural Dynamics, EarlyView.ABSTRACT Multi‐supported non‐structural components (NSCs) are prone to seismic damage, yet their response prediction remains challenging when support motions are spatially incoherent. This study proposes an enhanced quasi‐static condensation (EQSC) method for linear, lightweight, dynamically detuned multi‐supported NSCs under the neglect of primary ...
Duozhi Wang +5 more
wiley +1 more source
Algebraic K -Theory of Number Fields and Rings of Integers and the Stickelberger Ideal
The Annals of Mathematics, 1992 Let \(F\) be an abelian extension of \(\mathbb{Q}\). The Stickelberger theorem constructs an ideal \(S_ 0\) in \(\mathbb{Z}[G(F/\mathbb{Q})]\) that annihilates the class group of \(F\). The ideal \(S_ 0\) is generated by elements of the form \[ \Theta_ 0(b)=(b-(b,F))\sum_{(a;f)=1;1\leq an\): \[ \left|{{w_{n+1}(F)\zeta_ F(-n)} \over {\prod_{v\mid\ell}w_
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Orbit structure and (reversing) symmetries of toral endomorphisms on rational lattices
, 2012 Baake M, Neumärker N. Orbit structure and (reversing) symmetries of toral endomorphisms on rational lattices. Discrete and continuous dynamical systems A.
Neumärker, Natascha, Baake, Michael
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