Results 21 to 30 of about 165,979,158 (232)
Известия Иркутского государственного университета: Серия "Математика", 2022 M. C. Tamburini and P. Zucca proved that the special linear group of dimension greater than 13 over the ring of Gaussian integers is generated by three involutions, two of which commute (J. of Algebra, 1997).
R. I. Gvozdev +2 more
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An Updated List of Species Used in Tree-Ring Research
, 1993 During the past 100 years, researchers have investigated the potential of hundreds of tree and shrub species for use in applications of tree-ring research.
Grissino-Mayer, Henri D.
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Approximatting rings of integers in number fields [PDF]
Journal de théorie des nombres de Bordeaux, 1994 In this paper we study the algorithmic problem of finding the ring of integers of a given algebraic number field. In practice, this problem is often considered to be well-solved, but theoretical results indicate that it is intractable for number fields that are defined by equations with very large coefficients.
Lenstra, H.W., Buchmann, J.A.
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International Journal of Mathematics and Mathematical Sciences, 2006 We discuss the calculation of integral cohomology ring of LG/T and ΩG. First we describe the root system and Weyl group of LG, then we give some homotopy equivalences on the loop groups and homogeneous spaces, and calculate the cohomology ring structures
Cenap Özel, Erol Yilmaz
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Chinese remainder theorem secret sharing in multivariate polynomials
Журнал Белорусского государственного университета: Математика, информатика, 2019 This paper deals with a generalization of the secret sharing using Chinese remainder theorem over the integers to multivariate polynomials over a finite field. We work with the ideals and their Gröbner bases instead of integer moduli.
Gennadii V. Matveev
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Algebraic relations among Goss’s zeta values on elliptic curves
Forum of Mathematics, Sigma, 2023 In 2007 Chang and Yu determined all the algebraic relations among Goss’s zeta values for $A=\mathbb F_q[\theta ]$ , also known as the Carlitz zeta values.
Nathan Green, Tuan Ngo Dac
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Rings of Multisets and Integer Multinumbers [PDF]
Mathematics, 2022 In the paper, we consider a ring structure on the Cartesian product of two sets of integer multisets. In this way, we introduce a ring of integer multinumbers as a quotient of the Cartesian product with respect to a natural equivalence. We examine the properties of this ring and construct some isomorphisms to subrings of polynomials and Dirichlet ...
Yuriy Chopyuk +2 more
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Construction of Complex Lattice Codes via Cyclotomic Fields
Trends in Computational and Applied Mathematics, 2022 Through algebraic number theory and Construction $A$ we extend an algebraic procedure which generates complex lattice codes from the polynomial ring \mathbb{F}_{2}[x]/(x^{n}-1), where \mathbb{F}_{2}=\{0,1\}, by using ideals from the generalized ...
E. D. Carvalho +3 more
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The Diophantine equation ax2+2bxy−4ay2=±1
International Journal of Mathematics and Mathematical Sciences, 2003 We discuss, with the aid of arithmetical properties of the ring of the Gaussian integers, the solvability of the Diophantine equation ax2+2bxy−4ay2=±1, where a and b are nonnegative integers.
Lionel Bapoungué
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Cube-root-subgroups of SL2 over imaginary quadratic integers [PDF]
Computer Science Journal of Moldova, 2021 All cube roots of the identity in the special linear group of $2\times 2$-matrices with entries in the ring of integers in $\mathbb Q[\sqrt{d}]$ are described.
Miroslav Kures
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