Results 21 to 30 of about 93 (80)
A Century of Turbulent Cascades and the Emergence of Multifractal Operators
Earth and Space Science, Volume 7, Issue 3, March 2020., 2020 Abstract A century of cascades and three decades of multifractals have built up a truly interdisciplinary framework that has enabled a new approach and understanding of nonlinear phenomena, in particular, in geophysics. Nevertheless, there seems to be a profound gap between the potentials of multifractals and their actual use.
Daniel Schertzer, Ioulia Tchiguirinskaia
wiley +1 more source
Enveloping algebras of Malcev algebras [PDF]
, 2010 summary:We first discuss the construction by Pérez-Izquierdo and Shestakov of universal nonassociative enveloping algebras of Malcev algebras. We then describe recent results on explicit structure constants for the universal enveloping algebras (both ...
Hentzel, Irvin R. +4 more
core +1 more source
How a nonassociative algebra reflects the properties of a skew polynomial
, 2021 Let D be a unital associative division ring and D[t, σ, δ] be a skew polynomial ring, where σ is an endomorphism of D and δ a left σ-derivation.
Brown, Christian, Pumpluen, Susanne
core +1 more source
The orbit method for Poisson orders
Proceedings of the London Mathematical Society, Volume 120, Issue 1, Page 65-94, January 2020., 2020 Abstract A version of Kirillov's orbit method states that the primitive spectrum of a generic quantisation A of a Poisson algebra Z should correspond bijectively to the symplectic leaves of Spec(Z). In this article, we consider a Poisson order A over a complex affine Poisson algebra Z.
Stéphane Launois, Lewis Topley
wiley +1 more source
Learning with Errors from Nonassociative Algebras [PDF]
We construct a provably-secure structured variant of Learning with Errors (LWE) using nonassociative cyclic division algebras, assuming the hardness of worst-case structured lattice problems, for which we are able to give a full search-to-decision ...
Cong Ling, Andrew Mendelsohn
core +3 more sources
Tensor products of nonassociative cyclic algebras [PDF]
, 2016 We study the tensor product of an associative and a nonassociative cyclic algebra. The condition for the tensor product to be a division algebra equals the classical one for the tensor product of two associative cyclic algebras by Albert or Jacobson, if ...
Pumpluen, Susanne
core +1 more source
Division algebras that generalize Dickson semifields [PDF]
, 2020 summary:We generalize Knuth's construction of Case I semifields quadratic over a weak nucleus, also known as generalized Dickson semifields, by doubling of central simple algebras.
Thompson, Daniel
core +1 more source
On maximal immediate extensions of valued division algebras [PDF]
, 2003 We show an extension theorem for strictly contracting bilinear mappings into a spherically complete valued vector space and we apply this result to prove that every maximal valued division algebra having the same characteristic as its residue division ...
Schörner, Erwin
core +1 more source
Topological Aspects of Quadratic Graphs and M‐Polynomials Utilizing Classes of Finite Quasigroups
Journal of Mathematics, Volume 2026, Issue 1, 2026.Material science, drug design and toxicology studies, which relate a molecule’s structure to its numerous properties and activities, are studied with the use of the topological index. Graphs with finite algebraic structure find extensive applications in fields such as mathematics, elliptic curve cryptography, physics, robotics and information theory ...
Mohammad Mazyad Hazzazi +5 more
wiley +1 more source
Finite nonassociative algebras obtained from skew polynomials and possible applications to (f, σ, δ)-codes [PDF]
, 2017 Let S be a unital ring, S[t; σ, δ] a skew polynomial ring where σ is an injective endomorphism and δ a left σ -derivation, and suppose f ε S[t; σ, δ] has degree m and an invertible leading coefficient.
Pumpluen, Susanne
core +1 more source