Results 31 to 40 of about 53,379 (231)

Topological Galois theory

Advances in Mathematics, 2016
We introduce an abstract topos-theoretic framework for building Galois-type theories in a variety of different mathematical contexts; such theories are obtained from representations of certain atomic two-valued toposes as toposes of continuous actions of a topological group.
openaire   +3 more sources

Skew-Forms and Galois Theory

Comptes Rendus. Mathématique
Let $L/K$ be a cyclic extension of degree $n = 2m$. It is known that the space $\mathrm{Alt}_K(L)$ of alternating $K$-bilinear forms (skew-forms) on $L$ decomposes into a direct sum of $K$-subspaces $A^{\sigma ^i}$ indexed by the elements of $\mathrm{Gal}
Gupta, Ashish, Mandal, Sugata
doaj   +1 more source

A new discretization of the Euler equation via the finite operator theory [PDF]

Open Communications in Nonlinear Mathematical Physics
We propose a novel discretization procedure for the classical Euler equation, based on the theory of Galois differential algebras and the finite operator calculus developed by G.C. Rota and collaborators.
Miguel A. Rodríguez, Piergiulio Tempesta   +1 more
doaj   +1 more source

Localic Galois theory

Advances in Mathematics, 2003
In Proposition I of "Memoire sur les conditions de resolubilite des equations par radicaux", Galois established that any intermediate extension of the splitting field of a polynomial with rational coefficients is the fixed field of its galois group. We first state and prove the (dual) categorical interpretation of of this statement, which is a theorem ...
openaire   +3 more sources

A Vulnerability Lens for Intuitive‐Logic Scenarios

FUTURES &FORESIGHT SCIENCE, Volume 8, Issue 1, April 2026.
ABSTRACT Exploration of possibilities by means of intuitive logic is hampered by a large number of scenarios, which easily exceed the limits imposed by human bounded rationality. While many practitioners constrain their scenarios within a 2 × 2 $2\times 2$ matrix by design, more structured approaches point to rationales such as eliminating ...
Guido Fioretti
wiley   +1 more source

Construction of q-ary(n,M,d)-codes in PG(2,16)

Wasit Journal for Pure Sciences, 2023
The goal of this paper was to study the applications of the projective plane PG (2, q) over a Galois field of order q in the projective q-ary (n, M, d) -code such that the parameters length of code n, the maximum value size code M, and the minimum ...
Dunya Fareeq Fendi, Nada Yassen Kasm Yahya   +1 more
doaj   +1 more source

Differential Galois theory II

Annals of Pure and Applied Logic, 1997
This paper proposes a generalization of Kolchin's Galois theory of differential fields. In the Kolchin theory, the Galois groups correspond to algebraic groups over the subfield of constants; moreover every algebraic group can arise in this way. In this paper, the constants are replaced by an arbitrary differential algebraic set \(X\). Accordingly, \(X\
openaire   +4 more sources

From Galois to Hopf Galois: theory and practice

, 2014
Hopf Galois theory expands the classical Galois theory by considering the Galois property in terms of the action of the group algebra k[G] on K/k and then replacing it by the action of a Hopf algebra.
Crespo, Teresa, Rio, Anna, Vela, Montserrat   +2 more
core   +1 more source

Hypergeometric motives from Euler integral representations

Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract We revisit certain one‐parameter families of affine covers arising naturally from Euler's integral representation of hypergeometric functions. We introduce a partial compactification of this family. We show that the zeta function of the fibers in the family can be written as an explicit product of L$L$‐series attached to nondegenerate ...
Tyler L. Kelly, John Voight
wiley   +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