Reprint of: Endomorphism rings of reductions of Drinfeld modules

Autor: Mihran Papikian, Sumita Garai

Publikováno v: Journal of Number Theory. 232:155-176

Let A = F q [ T ] be the polynomial ring over F q , and F be the field of fractions of A. Let ϕ be a Drinfeld A-module of rank r ≥ 2 over F. For all but finitely many primes p ◁ A , one can reduce ϕ modulo p to obtain a Drinfeld A-module ϕ ⊗

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::15f78e22511961fa0eefae2c03eb52c3
https://doi.org/10.1016/j.jnt.2021.10.002

Hv-Field of Fractions and Hv-Quotient Rings

Autor: Mansour Ghadiri

Publikováno v: Journal of the Indonesian Mathematical Society. :75-89

A larger class of algebraic hyperstructures satisfying the ring (field)-like axioms is the class of H v -rings ( H v -fields). In this paper, we define the H v -integral domain and introduce the H v -field of fractions of an H v -integral domain. Als

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https://doi.org/10.22342/jims.27.1.869.75-89

Galois groups over rational function fields over skew fields

Autor: Gil Alon, François Legrand, Elad Paran

Publikováno v: Comptes Rendus. Mathématique. 358:785-790

Let $H$ be a skew field of finite dimension over its center $k$. We solve the Inverse Galois Problem over the field of fractions $H(X)$ of the ring of polynomial functions over $H$ in the variable $X$, if $k$ contains an ample field.

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https://doi.org/10.5802/crmath.20

On a reduction map for Drinfeld modules

Autor: Piotr Krasoń, Wojciech Bondarewicz

Publikováno v: Acta Arithmetica. 195:109-129

In this paper we investigate a local to global principle for Mordell-Weil group defined over a ring of integers ${\cal O}_K$ of $t$-modules that are products of the Drinfeld modules ${\widehat\varphi}={\phi}_{1}^{e_1}\times \dots \times {\phi}_{t}^{e

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6eb5744b1473e475ee44bba59a1833f4
https://doi.org/10.4064/aa171025-26-10

Counterexamples to Hilbert’s Fourteenth Problem

Autor: Arno van den Essen, Shigeru Kuroda, Anthony J. Crachiola

Publikováno v: Essen, A. van den (ed.), Polynomial Automorphisms and the Jacobian Conjecture: New Results from the Beginning of the 21st Century, pp. 43-64
Frontiers in Mathematics ISBN: 9783030605339

Item does not contain fulltext Let k be a field, x = k[x1, …, xn] the polynomial ring in n variables over k, k(x) the field of fractions of k[x], and L a subfield of k(x) containing k. Hilbert’s fourteenth problem asks whether the k-algebra L ∩

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https://repository.ubn.ru.nl/handle/2066/234021