Results 81 to 90 of about 241,261 (215)
Fourier Expansion‐Based Approach to the Parameter Space of Classical Systems
ABSTRACT We propose a new approach to compute the classical metric tensor (CMT) and the Hannay curvature using Fourier series expansions in action‐angle variables. This approach circumvents the need for complex time‐domain integrals or the construction of generating functions, replacing them with algebraic combinations of Fourier coefficients. We prove
Marcos J. Hernández +3 more
wiley +1 more source
FuzzyMind: A Web Platform for End‐to‐End Fuzzy Cognitive Map Modeling
ABSTRACT Fuzzy cognitive maps (FCMs) are widely used for modeling complex causal systems under uncertainty. However, the FCM development lifecycle, encompassing data preprocessing, model construction, weight optimization, and scenario analysis, is typically fragmented across heterogeneous tools.
Theodoros Tziolas, Elpiniki Papageorgiou
wiley +1 more source
On generalized quaternion algebras
Let B be a commutative ring with 1, and G(={σ}) an automorphism group of B of order 2. The generalized quaternion ring extension B[j] over B is defined by S. Parimala and R.
George Szeto
doaj +1 more source
ABSTRACT In this paper, we study and characterise the natural embedding of the twisted triality hexagon T ( q 3 , q ) in PG ( 7 , q 3 ). We begin by describing the possible intersections of subspaces of PG ( 7 , q 3 ) with T ( q 3 , q ). Then, we provide conditions on a set of lines ℒ, which ensure that ℒ forms the line set of a naturally embedded ...
Sebastian Petit, Geertrui Van de Voorde
wiley +1 more source
Galois extensions induced by a central idempotent in a partial Galois extension
Let (R,α) be a partial Galois extension of RαG with a partial action of a finite group G, e a non-zero central idempotent in R, 1g the central idempotent associated with g ∈ G, and E = e(Πg∈G1g) 6= 0 with a maximal number of factors 1g for g ∈ G. A sufficient condition for a Galois extension Re with Galois group H(e) and for a Galois extension RE with ...
Xiao-Long Jiang, George Szeto
openaire +1 more source
On the fixed‐point proportion of self‐similar groups
Abstract We prove that super strongly fractal groups acting on regular rooted trees have null fixed‐point proportion. In particular, we show that the fixed‐point proportion of an infinite family of iterated monodromy groups of exceptional complex polynomials has the same property.
Jorge Fariña‐Asategui, Santiago Radi
wiley +1 more source
Homotopic Hopf–Galois extensions revisited
In this article we revisit the theory of homotopic Hopf-Galois extensions introduced in [9], in light of the homotopical Morita theory of comodules established in [3].
Hess, Kathryn +3 more
core +1 more source
On Galois projective group rings
Let A be a ring with 1, C the center of A and G′ an inner automorphism group of A induced by {Uα in A/α in a finite group G whose order is invertible}.
George Szeto, Linjun Ma
doaj +1 more source
Twistings and Hopf Galois Extensions
Let \(H\) be a Hopf algebra with bijective antipode over a commutative ring \(R\), let \(A\) be a right \(H\)-comodule algebra, and let \(B\) be the subalgebra of \(H\)-coinvariant elements of \(A\). A mapping \(\tau\) of \(H\otimes A\) into \(A\) may be used to define a new multiplication on the \(H\)-comodule \(A\) by the rule: \(a*a'=\sum a_0\tau ...
Beattie, Margaret, Torrecillas, Blas
openaire +1 more source
We discuss the permutation group G of massive vacua of four-dimensional gauge theories with N $$ \mathcal{N} $$ = 1 supersymmetry that arises upon tracing loops in the space of couplings. We concentrate on superconformal N $$ \mathcal{N} $$ = 4 and N $$ \
Antoine Bourget, Jan Troost
doaj +1 more source

