Results 121 to 130 of about 282 (146)
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Realizability of Two-dimensional Linear Groups over Rings of Integers of Algebraic Number Fields
Algebras and Representation Theory, 2009This 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, 2019In 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
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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
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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 +3 more sources
The ring of integers of an Abelian extension of an algebraic number field as a Galois module
Journal of Soviet Mathematics, 1982The 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
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Symplectic groups over rings of algebraic integers have finite width over the elementary matrices
Algebra and Logic, 1985zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Algebraic properties of the ring of integer-valued polynomials on prime numbers
Communications in Algebra, 1997Jean-Luc Glasby +2 more
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Gröbner bases in function rings—A guide for introducing reduction relations to algebraic structures
Journal of Symbolic Computation, 2006Birgit Reinert
exaly
On relations for rings generated by algebraic numbers and their conjugates
Annali Di Matematica Pura Ed Applicata, 2013Jonas Jankauskas +2 more
exaly
Rings in which derivations satisfy certain algebraic conditions
Acta Mathematica Hungarica, 1989H E Bell
exaly
Algebraic Coding Theory Over Finite Commutative Rings
SpringerBriefs in Mathematics, 2017Steven Dougherty
exaly