Results 1 to 10 of about 54 (34)
Decidability of the class of all the rings $\mathbb {Z}/m\mathbb {Z}$ : A problem of Ax
Forum of Mathematics, Sigma, 2023 We prove that the class of all the rings $\mathbb {Z}/m\mathbb {Z}$ for all $m>1$ is decidable. This gives a positive solution to a problem of Ax asked in his celebrated 1968 paper on the elementary theory of finite fields [1, Problem 5, p.
Jamshid Derakhshan, Angus Macintyre
doaj +1 more source
Matrices induced by arithmetic functions, primes and groupoid actions of directed graphs
Special Matrices, 2015 In this paper, we study groupoid actions acting on arithmetic functions. In particular, we are interested in the cases where groupoids are generated by directed graphs. By defining an injective map α from the graph groupoid G of a directed graph G to the
Cho Ilwoo, Jorgensen Palle E. T.
doaj +1 more source
Matrices induced by arithmetic functions acting on certain Krein spaces
Special Matrices, 2017 In this paper, we study matrices induced by arithmetic functions under certain Krein-space representations induced by (multi-)primes less than or equal to fixed positive real numbers.
Cho Ilwoo
doaj +1 more source
Krein-space operators determined by free product algebras induced by primes and graphs
Special Matrices, 2017 In this paper, we introduce certain Krein-space operators induced by free product algebras induced by both primes and directed graphs. We study operator-theoretic properties of such operators by computing free-probabilistic data containing number ...
Cho Ilwoo, Jorgensen Palle E. T.
doaj +1 more source
Haar system on a product of zero-dimensional compact groups
Open Mathematics, 2011 Lukomskii Sergei
doaj +1 more source
Deformations and Balian-Low theorems for Gabor frames on the adeles [PDF]
, 2022 publishedVersio
Enstad, Ulrik Bo Rufus +3 more
core +2 more sources
Representation fields for commutative orders [PDF]
, 2011 A representation field for a non-maximal order $\Ha$ in a central simple algebra is a subfield of the spinor class field of maximal orders which determines the set of spinor genera of maximal orders containing a copy of $\Ha$. Not every non-maximal order
Arenas-Carmona, Luis
core +2 more sources
On a Dynamical Brauer-Manin Obstruction [PDF]
, 2008 Let F : X --> X be a morphism of a variety defined over a number field K, let V be a K-subvariety of X, and let O_F(P)= {F^n(P) :n=0,1,2,...} be the orbit of a point P in X(K).
Hsia, Liang-Chung, Silverman, Joseph H.
core +2 more sources
Two-dimensional Id\`eles with Cycle Module Coefficients
, 2014 We give a theory of id\`eles with coefficients for smooth surfaces over a field. It is an analogue of Beilinson/Huber's theory of higher ad\`eles, but handling cycle module sheaves instead of quasi-coherent ones.
Beilinson +22 more
core +1 more source
Characterization of global fields by Dirichlet L-series [PDF]
, 2019 We prove that two global fields are isomorphic if and only if there is an isomorphism of groups of Dirichlet characters that preserves L ...
BH Gross +11 more
core +3 more sources