Results 1 to 10 of about 26 (26)

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 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

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

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

Réflexions autour d’une éthique du regard dans Los que viven en la arena de Graciela Iturbide

Focales
This article tries to understand the visual strategies present in Los que viven en la arena. This book is the result of an investigation by photographer Graciela Iturbide and anthropologist Luis Barjau among the Seri, in the Sonora desert of Baja ...
Gaëlle Guillet-Sariols
doaj   +1 more source

Fundamental Hermite constants of linear algebraic groups

, 2007
Let G be a connected reductive algebraic group defined over a global field k and Q a maximal k-parabolic subgroup of G. The constant #(G, Q, k) attached to (G, Q) is defined as an analogue of Hermite's constant.
Takao Watanabe
core  

Haar system on a product of zero-dimensional compact groups

Open Mathematics, 2011
Lukomskii Sergei
doaj   +1 more source

Model theory of adeles I

Annals of Pure and Applied Logic, 2022
Jamshid Derakhshan, Angus Macintyre
exaly  

Inhomogeneous inequalities over number fields

Illinois Journal of Mathematics, 1994
Edward B Bürger
exaly  

Space forms and higher metaplectic groups

Mathematische Annalen, 1998
Richard J Hill
exaly