Results 31 to 40 of about 599,891 (278)

Toral Algebraic Sets and Function Theory on Polydisks [PDF]

, 2005
A toral algebraic set $A$ is an algebraic set in $\C^n$ whose intersection with $\T^n$ is sufficiently large to determine the holomorphic functions on $A$.
Agler, Jim, McCarthy, John, Stankus, Mark   +2 more
core   +3 more sources

Ghost Numbers of Group Algebras [PDF]

Algebras and Representation Theory, 2014
28 pages; v2 improves introduction and has many other minor changes throughout.
Christensen, J. Daniel, Wang, Gaohong
openaire   +2 more sources

Polynomials Generating Maximal Real Subfields of Circular Fields [PDF]

Учёные записки Казанского университета: Серия Физико-математические науки, 2016
We have constructed recurrence formulas for polynomials qn(x) ɕ Q[x], any root of which generates the maximal real subfield of circular field K2n. It has been shown that all real subfields of fixed field K2n can be described by using polynomial qn(x) and
I.G. Galyautdinov, E.E. Lavrentyeva
doaj  

Visual and Symbolic Representations as Components of Algebraic Reasoning

Journal of Numerical Cognition, 2023
Sixty (35 girls) ninth graders were assessed on measures of algebraic reasoning and usage of visual and symbolic representations (with a prompt for visual use) to solve equations and inequalities.
Zehra E. Ünal, Aslı M. Ala, Gamze Kartal, Serkan Özel, David C. Geary   +4 more
doaj   +1 more source

The Algebraic Bethe Ansatz and Tensor Networks [PDF]

, 2012
We describe the Algebraic Bethe Ansatz for the spin-1/2 XXX and XXZ Heisenberg chains with open and periodic boundary conditions in terms of tensor networks.
A. A. Zvyagin, C. Gómez, D. Perez-Garcia, F. H. L. Essler, F. Verstraete, F. Verstraete, J. Plunkett, L. Hulthén, M. Karbach, V. E. Korepin, V. E. Korepin, V. Murg   +11 more
core   +3 more sources

The number of connected components of certain real algebraic curves

International Journal of Mathematics and Mathematical Sciences, 2001
For an integer n≥2, let p(z)=∏k=1n(z−αk) and q(z)=∏k=1n(z−βk), where αk,βk are real. We find the number of connected components of the real algebraic curve {(x,y)∈ℝ2:|p(x+iy)|−|q(x+iy)|=0} for some αk and βk.
Seon-Hong Kim
doaj   +1 more source

An Example of Two-Fold Fuzzy Algebras Based On Neutrosophic Real Numbers [PDF]

Neutrosophic Sets and Systems
This paper is dedicated to defining and studying for the first time a two-fold algebra over the neutrosophic real number ring by merging the fuzzy set mapping with the algebraic operations of the neutrosophic real number ring.
Abdallah Shihadeh, Khaled Ahmad Mohammad Matarneh, Raed Hatamleh, Randa Bashir Yousef Hijazeen, Mowafaq Omar Al-Qadri, Abdallah Al-Husban   +5 more
doaj   +1 more source

Gr\"obner Bases over Algebraic Number Fields

, 2015
Although Buchberger's algorithm, in theory, allows us to compute Gr\"obner bases over any field, in practice, however, the computational efficiency depends on the arithmetic of the ground field.
Boku, Dereje Kifle, Decker, Wolfram, Fieker, Claus, Steenpass, Andreas   +3 more
core   +1 more source

Finding Integral Linear Dependencies of Algebraic Numbers and Algebraic Lie Algebras [PDF]

LMS Journal of Computation and Mathematics, 2007
Abstract:We give an algorithm for finding the module of linear dependencies of the roots of a monic integral polynomial. Using this, we describe an algorithm for constructing the algebraic hull of a given matrix Lie algebra in characteristic zero.
De Graaf, Willem Adriaan, C. Fieker
openaire   +4 more sources

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
doaj   +1 more source