Results 41 to 50 of about 131,023 (367)
AIMS Mathematics, 2022 Let $ K = \mathbb{Q}(\sqrt{m}) $ be an imaginary quadratic field with $ O_K $ its ring of integers. Let $ \pi $ and $ \beta $ be an irreducible element and a nonzero element, respectively, in $ O_K $.
Phitthayathon Phetnun +1 more
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Vector Bundles on the Moduli Stack of Elliptic Curves [PDF]
, 2015 We study vector bundles on the moduli stack of elliptic curves over a local ring R. If R is a field or a discrete valuation ring of (residue) characteristic not 2 or 3, all these vector bundles are sums of line bundles.
Bauer +28 more
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Rings of Integer-Valued Continuous Functions [PDF]
Transactions of the American Mathematical Society, 1961 During the past twenty years extensive work has been done on the ring C(X). The pioneer papers in the subject are [8] for compact X and [3] for arbitrary X. A significant part of this work has recently been summarized in the book [2]. Concerning the ring C(X, Z), very little has been written. This is natural, since C(X, Z) is less important in problems
openaire +2 more sources
Orders of Nikshych's Hopf algebra [PDF]
, 2017 Let $p$ be an odd prime number and $K$ a number field having a primitive $p$-th root of unity $\zeta.$ We prove that Nikshych's non-group theoretical Hopf algebra $H_p$, which is defined over $\mathbb{Q}(\zeta)$, admits a Hopf order over the ring of ...
Cuadra, Juan, Meir, Ehud
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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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AIMS Mathematics, 2021 Let $ R $ be a ring with identity. The commuting graph of $ R $ is the graph associated to $ R $ whose vertices are non-central elements in $ R $, and distinct vertices $ A $ and $ B $ are adjacent if and only if $ AB = BA $. In this paper, we completely
Hengbin Zhang
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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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Factorisation theorems for generalised power series [PDF]
, 2017 Fields of generalised power series (or Hahn fields), with coefficients in a field and exponents in a divisible ordered abelian group, are a fundamental tool in the study of valued and ordered fields and asymptotic expansions.
L'Innocente, Sonia, Mantova, Vincenzo
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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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On one type of compactification of positive integers
, 2015 A compact metric ring containing the set of positive integers as dense subset is studied.
Pasteka, Milan
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