Results 1 to 10 of about 1,456,662 (377)

Theory of cyclic algebras over an algebraic number field [PDF]

open access: yesTransactions of the American Mathematical Society, 1932
I present this paper for publication to an American journal and in English for the following reason: The theory of linear algebras has been greatly extended through the work of American mathematicians. Of late, German mathematicians have become active in this theory.
H. Hasse
openaire   +2 more sources

Topological Transcendental Fields

open access: yesAxioms, 2022
This article initiates the study of topological transcendental fields F which are subfields of the topological field C of all complex numbers such that F only consists of rational numbers and a nonempty set of transcendental numbers. F, with the topology
Taboka Prince Chalebgwa   +1 more
doaj   +1 more source

ε-arithmetics for real vectors and linear processing of real vector-valued signals

open access: yesJournal of Information and Intelligence, 2023
In this paper, we introduce a new concept, namely ε-arithmetics, for real vectors of any fixed dimension. The basic idea is to use vectors of rational values (called rational vectors) to approximate vectors of real values of the same dimension within ε ...
Xiang-Gen Xia
doaj   +1 more source

Prime Spectrum of the Ring of Adeles of a Number Field

open access: yesMathematics, 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

On simple modules with singular highest weights for so2l+1(K) [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2022
In this paper, we study formal characters of simple modules with singular highest weights over classical Lie algebras of type B over an algebraically closed field of characteristic p ≥ h, where h is the Coxeter number. Assume that the highest weights of
Sh.Sh. Ibraev   +2 more
doaj   +2 more sources

Necessary and sufficient conditions for the existence of invariant algebraic curves

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2021
We present a set of conditions enabling a polynomial system of ordinary differential equations in the plane to have invariant algebraic curves. These conditions are necessary and sufficient. Our main tools include factorizations over the field of Puiseux
Maria Demina
doaj   +1 more source

Discontinuity and diversity of Persian scientific research journals in the field of educational sciences by using coloring and mathematical algebraic parameters [PDF]

open access: yesریاضی و جامعه, 2022
The aim of the current research is to study and compare graphs authorship by Iranian researchers in Persian scientific research journals in the field of educational sciences by using algebraic parameters of mathematics. In this research, the data related
Ali Abdi, Mostafa Amini
doaj   +1 more source

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