Results 151 to 160 of about 354 (175)

Realizability of Two-dimensional Linear Groups over Rings of Integers of Algebraic Number Fields

Algebras and Representation Theory, 2009
This paper is concerned with the following problem. Given the ring of integers \(O_K\) of an algebraic number field \(K\) and a positive integer \(n\), does there exist a finite subgroup \(G\) of \(\mathrm{GL}(n,O_K)\) such that \(O_KG=M(n,O_K)\), where \(O_KG\) is the \(O_K\)-span of \(G\)? In this case \(M(n,O_K)\) is a `Schur ring'.
Dmitry Malinin, Freddy Van Oystaeyen
exaly   +4 more sources

Ramanujan’s sum in the ring of integers of an algebraic number field

International Journal of Number Theory, 2019
In this paper, we generalize Ramanujan’s sum to the ring of integers of an algebraic number field. We also obtain the orthogonality properties of Ramanujan’s sum in the ring of integers.
Wang, Yujie, Ji, Chungang
openaire   +2 more sources

Computing the discrete Fourier transform using residue number systems in a ring of algebraic integers

IEEE Transactions on Information Theory, 1985
A new method is described for computing an \(N=R^ m=2^{vm}\)-point complex discrete Fourier transform that uses quantization within a dense ring of algebraic integers in conjunction with a residue number system over this ring. The algebraic and analytic foundations for the technique are derived and discussed. The architecture for a radix-R fast Fourier
John H. Cozzens, Larry A. Finkelstein
openaire   +2 more sources

The ring of integers of an Abelian extension of an algebraic number field as a Galois module

Journal of Soviet Mathematics, 1982
The ringO of integers of a finite Abelian extension K of an algebraic number field k is studied as a module over the group ring Λ=σ[G], where σ is the ring of integers of k and G is the Galois group of K/k. It is proved that the ring σ is a decomposable Λ-module if and only if there exists in K/k an intermediate extension K/F. F≠K, whose degree divides
openaire   +2 more sources

Symplectic groups over rings of algebraic integers have finite width over the elementary matrices

Algebra and Logic, 1985
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Algebraic properties of the ring of integer-valued polynomials on prime numbers

Communications in Algebra, 1997
Jean-Luc Glasby, Scott T. Chapman, William W. Smith   +2 more
openaire   +1 more source

Equivariant algebraic K-functors for $$\Gamma $$-rings

European Journal of Mathematics, 2023
Hvedri Inassaridze
exaly  

Gröbner bases in function rings—A guide for introducing reduction relations to algebraic structures

Journal of Symbolic Computation, 2006
Birgit Reinert
exaly  

Algebraic Coding Theory Over Finite Commutative Rings

SpringerBriefs in Mathematics, 2017
Steven T Dougherty
exaly  

Rings in which derivations satisfy certain algebraic conditions

Acta Mathematica Hungarica, 1989
H E Bell
exaly