Results 91 to 100 of about 2,325,357 (271)
On nonassociative graded-simple algebras over the field of real numbers [PDF]
arXiv, 2018 We extend the loop algebra construction for algebras graded by abelian groups to study graded-simple algebras over the field of real numbers (or any real closed field). As an application, we classify up to isomorphism the graded-simple alternative (nonassociative) algebras and graded-simple finite-dimensional Jordan algebras of degree 2.
arxiv
Geometry of division rings [PDF]
arXiv, 2022 We prove an analog of Belyi's theorem for the algebraic surfaces. Namely, any non-singular algebraic surface can be defined over a number field if and only it covers the complex projective plane with ramification at three knotted two-dimensional spheres.
arxiv
New decidable fields of algebraic numbers [PDF]
Proceedings of the American Mathematical Society, 1979 A formally real field of algebraic numbers is constructed which has decidable elementary theory and does not have a real closed or p-adically closed subfield.
L. P. D. van den Dries +1 more
openaire +2 more sources
, 1985 In this paper ideal matrices with respect to ideals in the maximal order of an algebraic number field are connected with the different of the field and with group matrices in the case of normal fields whose maximal order has a normal ...
Taussky, Olga
core
Analytic curves in algebraic varieties over number fields
, 2007 We establish algebraicity criteria for formal germs of curves in algebraic varieties over number fields and apply them to derive a rationality criterion for formal germs of functions, which extends the classical rationality theorems of Borel-Dwork and P\'
A Franchetta +41 more
core +5 more sources
The condition number associated with ideal lattices from odd prime degree cyclic number fields
Journal of Mathematical CryptologyThe condition number of a generator matrix of an ideal lattice derived from the ring of integers of an algebraic number field is an important quantity associated with the equivalence between two computational problems in lattice-based cryptography, the ...
de Araujo Robson Ricardo
doaj +1 more source
Моделирование и анализ информационных систем, 2017 We investigate interrelations between the Tate conjecture for divisors on a fibred variety over a finite field and the Tate conjecture for divisors on the generic scheme fibre under the condition that the generic scheme fibre has zero irregularity. Let \(
Tatyana V. Prokhorova
doaj +1 more source
A differential representation of cosmological wavefunctions
Journal of High Energy Physics, 2022 Our understanding of quantum field theory rests largely on explicit and controlled calculations in perturbation theory. Because of this, much recent effort has been devoted to improve our grasp of perturbative techniques on cosmological spacetimes. While
Aaron Hillman, Enrico Pajer
doaj +1 more source
Arithmetic of algebraic groups [PDF]
arXiv, 2004 This thesis studies arithmetic of linear algebraic groups. It involves studying the properties of linear algebraic groups defined over global fields, local fields and finite fields, or more generally the study of the linear algebraic groups defined over the fields which admit arbitrary cyclic extensions.
arxiv
Lattice index codes from algebraic number fields [PDF]
International Symposium on Information Theory, 2015 Broadcasting K independent messages to multiple users where each user has a subset of the K messages as side information is studied. This problem can be regarded as a natural generalization of the well-known index coding problem to the physical-layer ...
Yu-Chih Huang
semanticscholar +1 more source