Results 51 to 60 of about 2,240,617 (314)

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

Generalizing circles over algebraic extensions [PDF]

Mathematics of Computation, 2007
This paper deals with a family of spatial rational curves that were introduced in 1999 by Andradas, Recio, and Sendra, under the name of hypercircles, as an algorithmic cornerstone tool in the context of improving the rational parametrization ...
T. Recio, J. Sendra, L. Tabera, Carlos Villarino   +3 more
semanticscholar   +1 more source

Reduced and irreducible simple algebraic extensions of commutative rings [PDF]

Mathematica Moravica, 2017
Let A be a commutative ring with identity and be an algebraic element over A. We give necessary and sufficient conditions under which the simple algebraic extension A[α] is without nilpotent or without idempotent elements.
Mihovski S.V.
doaj  

On the Extensions of Zassenhaus Lemma and Goursat’s Lemma to Algebraic Structures

Journal of Mathematics, 2022
The Jordan–Hölder theorem is proved by using Zassenhaus lemma which is a generalization of the Second Isomorphism Theorem for groups. Goursat’s lemma is a generalization of Zassenhaus lemma, it is an algebraic theorem for characterizing subgroups of the ...
Fanning Meng, Junhui Guo
doaj   +1 more source

A Thermodynamic 3D Model for the Simulation of Diffusion‐Controlled Alloying Processes in Heterogeneous Material Structures

Advanced Engineering Materials, EarlyView.
A numerical model resulting from irreversible thermodynamics for describing transport processes is introduced, focusing on thermodynamic activity gradients as the actual driving force for diffusion. Implemented in CUDA C++ and using CalPhaD methods for determining the necessary activity data, the model accurately simulates interdiffusion in aluminum ...
Ulrich Holländer, Leonhard Holländer, André Langohr, Hans Jürgen Maier   +3 more
wiley   +1 more source

Discrete Cartesian Coordinate Transformations: Using Algebraic Extension Methods

Applied Sciences
It is shown that it is reasonable to use Galois fields, including those obtained by algebraic extensions, to describe the position of a point in a discrete Cartesian coordinate system in many cases. This approach is applicable to any problem in which the
Aruzhan Kadyrzhan, Dinara Matrassulova, Yelizaveta Vitulyova, Ibragim Suleimenov   +3 more
doaj   +1 more source

Affine algebraic groups with periodic components

, 2008
A connected component of an affine algebraic group is called periodic if all its elements have finite order. We give a characterization of periodic components in terms of automorphisms with finite number of fixed points.
A. L. Onishchik, A. L. Onishchik, J. E. Humphreys, J.-P. Serre, J.-P. Serre, L. Solomon, R. Steinberg, R. W. Carter, Stanislav N Fedotov, V. A. Kreknin, V. A. Kreknin   +10 more
core   +1 more source

Extensions of hereditary algebras

Manuscripta Mathematica, 1984
Let k be an algebraically closed field, B the path algebra over k of an oriented Dynkin diagram of type \(E_ 6,E_ 7\), or \(E_ 8\), and M an indecomposable right B-module. The author determines the representation type (finite, tame or wild) of the matrix algebra \(\left( \begin{matrix} k\\ 0\end{matrix} \begin{matrix} M\\ B\end{matrix} \right)\) for ...
openaire   +2 more sources

Algebraic extensions of an archimedean lattice-ordered group , 1

, 2001
Ball, R.N. and A.W. Hager, Algebraic extensions of an archimedean lattice-ordered group. I, Journal of Pure and Applied Algebra 85 (1993) l-20. Within a quite general class of structures, it is shown (pursuing a lead of Bacsich) that an extension A 5 B ...
Richard, N. Ball
semanticscholar   +1 more source

Demonstration of an All‐Optical AND Gate Mediated by Photochromic Molecules

Advanced Functional Materials, EarlyView.
A logic AND gate that runs on photons is demonstrated. It relies on two spatially separated photochromic molecules that work in tandem. Abstract The realization of a photonic logic AND gate, i.e. a logic AND gate that runs on photons rather than electrons, and where all steps are controlled by light, is demonstrated. In a proof‐of‐principle experiment,
Heyou Zhang, Max Gießübel, Pankaj Dharpure, Andrea Albert, Vira Niestierkina, Paul Mulvaney, Mukundan Thelakkat, Jürgen Köhler   +7 more
wiley   +1 more source