Results 31 to 40 of about 16,779 (193)

Reduced group schemes as iterative differential Galois groups

, 2019
This article is on the inverse Galois problem in Galois theory of linear iterative differential equations in positive characteristic. We show that it has an affirmative answer for reduced algebraic group schemes over any iterative differential field ...
Maurischat, Andreas
core   +1 more source

Galois theory of aigebraic and differential equations [PDF]

Nagoya Mathematical Journal, 1996
This paper will be the first part of our works on differential Galois theory which we plan to write. Our goal is to establish a Galois Theory of ordinary differential equations. The theory isinfinite dimensionalby nature and has a long history. The pioneer of this field is S. Lie who tried to apply the idea of Abel and Galois to differential equations.
openaire   +3 more sources

Splitting fields and general differential Galois theory

, 2010
An algebraic technique is presented that does not use results of model theory and makes it possible to construct a general Galois theory of arbitrary nonlinear systems of partial differential equations.
A. Pillay, B. Poizat, D. Marker, Dmitry V Trushin, E. R. Kolchin, M. F. Atiyah, M. Rosenlicht, M. van der Put, Ph. J. Cassidy   +8 more
core   +1 more source

Darboux Integrals for Schrödinger Planar Vector Fields via Darboux Transformations

Symmetry, Integrability and Geometry: Methods and Applications, 2012
In this paper we study the Darboux transformations of planar vector fields of Schrödinger type. Using the isogaloisian property of Darboux transformation we prove the ''invariance'' of the objects of the ''Darboux theory of integrability''. In particular,
Primitivo B. Acosta-Humánez, Chara Pantazi   +1 more
doaj   +1 more source

Extensions of differential representations of SL(2) and tori

, 2011
Linear differential algebraic groups (LDAGs) measure differential algebraic dependencies among solutions of linear differential and difference equations with parameters, for which LDAGs are Galois groups.
Alexey Ovchinnikov, Andrey Minchenko, Cassidy, Kolchin, Kolchin, Zobnin   +5 more
core   +1 more source

Intergenerational Communication in the Workplace Among Teaching Staff at Universities

Higher Education Quarterly, Volume 80, Issue 1, January 2026.
ABSTRACT In organisations characterised by generational diversity, information and knowledge exchange present both challenges and opportunities. Managing intergenerational relationships among teaching staff at higher education institutions necessitates, among other efforts, a critical review of communication processes.
Trinidad Mentado‐Labao, Núria Serrat‐Antolí, David Rodríguez‐Gómez, Diego Castro‐Ceacero   +3 more
wiley   +1 more source

The modular automorphisms of quotient modular curves

Mathematika, Volume 72, Issue 1, January 2026.
Abstract We obtain the modular automorphism group of any quotient modular curve of level N$N$, with 4,9∤N$4,9\nmid N$. In particular, we obtain some unexpected automorphisms of order 3 that appear for the quotient modular curves when the Atkin–Lehner involution w25$w_{25}$ belongs to the quotient modular group. We also prove that such automorphisms are
Francesc Bars, Tarun Dalal
wiley   +1 more source

Nontriviality of rings of integral‐valued polynomials

Mathematische Nachrichten, Volume 298, Issue 12, Page 3974-3994, December 2025.
Abstract Let S$S$ be a subset of Z¯$\overline{\mathbb {Z}}$, the ring of all algebraic integers. A polynomial f∈Q[X]$f \in \mathbb {Q}[X]$ is said to be integral‐valued on S$S$ if f(s)∈Z¯$f(s) \in \overline{\mathbb {Z}}$ for all s∈S$s \in S$. The set IntQ(S,Z¯)${\mathrm{Int}}_{\mathbb{Q}}(S,\bar{\mathbb{Z}})$ of all integral‐valued polynomials on S$S ...
Giulio Peruginelli, Nicholas J. Werner
wiley   +1 more source

Vladimirov–Pearson operators on ζ$\zeta$‐regular ultrametric Cantor sets

Mathematische Nachrichten, Volume 298, Issue 12, Page 3779-3790, December 2025.
Abstract A new operator for certain types of ultrametric Cantor sets is constructed using the measure coming from the spectral triple associated with the Cantor set, as well as its zeta function. Under certain mild conditions on that measure, it is shown that it is an integral operator similar to the Vladimirov–Taibleson operator on the p$p$‐adic ...
Patrick Erik Bradley
wiley   +1 more source

Chebotarev's theorem for cyclic groups of order pq$pq$ and an uncertainty principle

Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3841-3856, December 2025.
Abstract Let p$p$ be a prime number and ζp$\zeta _p$ a primitive p$p$th root of unity. Chebotarev's theorem states that every square submatrix of the p×p$p \times p$ matrix (ζpij)i,j=0p−1$(\zeta _p^{ij})_{i,j=0}^{p-1}$ is nonsingular. In this paper, we prove the same for principal submatrices of (ζnij)i,j=0n−1$(\zeta _n^{ij})_{i,j=0}^{n-1}$, when n=pr ...
Maria Loukaki
wiley   +1 more source