Results 71 to 80 of about 24,051 (192)

Nodal Noncommutative Jordan Algebras [PDF]

Transactions of the American Mathematical Society, 1964
1. A finite-dimensional power-associative algebra ' is said to be nodal [6] if every element of V can be written as a I + z where ai E c 1 is the unity element of W and z is nilpotent and if the set of all nilpotent elements is not a subalgebra of W. In [3; 4], Kokoris has shown that every simple nodal noncommutative Jordan algebra of characteristic p ...
openaire   +2 more sources

A Generalization of the First Tits Construction

Axioms
Let F be a field of characteristic, not 2 or 3. The first Tits construction is a well-known tripling process to construct separable cubic Jordan algebras, especially Albert algebras.
Thomas Moran, Susanne Pumpluen
doaj   +1 more source

Non‐Markovian Exceptional Points in Waveguide Quantum Electrodynamics

Advanced Quantum Technologies, Volume 9, Issue 4, April 2026.
Non‐Markovian waveguide‐QED systems exhibit dynamical transitions governed by exceptional points arising from retardation and interference. Giant atoms and spatially separated emitters display oscillatory relaxation and real zeros in the excited‐state amplitude at critical delay times.
Stefano Longhi
wiley   +1 more source

Nonlinear Jordan Derivable Mappings of Generalized Matrix Algebras by Lie Product Square-Zero Elements

Journal of Mathematics, 2021
The aim of the paper is to give a description of nonlinear Jordan derivable mappings of a certain class of generalized matrix algebras by Lie product square-zero elements.
Xiuhai Fei, Haifang Zhang
doaj   +1 more source

The Linearized Korteweg–de Vries Equation on the Line With Metric Graph Defects

Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.
ABSTRACT We study the small‐amplitude linearization of the Korteweg–de Vries equation on the line with a local defect scattering waves represented by a metric graph domain adjoined at one point. For a representative collection of examples, we derive explicit solution formulas expressed as contour integrals and obtain existence and unicity results for ...
D. A. Smith
wiley   +1 more source

On Primitive Jordan Algebras

Journal of Algebra, 1994
The authors have classified the primitive Jordan algebras over a field of characteristic \(\neq 2\). This classification is based on that of \textit{E. Zelmanov} [Sib. Math. J. 24, 73-85 (1983); translation from Sib. Mat. Zh. 24, No. 1(137), 89-104 (1983; Zbl 0534.17009)] concerning prime nondegenerate Jordan algebras, and on the following theorems ...
Anquela, José Angel, Montaner, Fernando, Cortés, Teresa   +2 more
openaire   +1 more source

Hyers–Ulam Stability of Solution for Generalized Lie Bracket of Derivations

Journal of Mathematics
In this work, we present a new concept of additive-Jensen s-functional equations, where s is a constant complex number with ...
Vahid Keshavarz, Mohammad Taghi Heydari
doaj   +1 more source

Characterization of Pseudo n-Jordan Homomorphisms Between Unital Algebras

پژوهش‌های ریاضی, 2020
Let A and B be Banach algebras and B be a right A-module. In this paper, under special hypotheses we prove that every pseudo (n+1)-Jordan homomorphism f:A----> B is a pseudo n-Jordan homomorphism and every pseudo n-Jordan homomorphism is an n-Jordan ...
Abbas Zivari-Kazempour, Abasalt Bodaghi
doaj  

A Lie product type formula in Euclidean Jordan algebras

Special Matrices, 2016
In this paper,we state and prove an analog of Lie product formula in the setting of Euclidean Jordan algebras.
Tao Jiyuan
doaj   +1 more source

Jensen's inequality for partial traces in von Neumann algebras

Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.
Abstract Motivated by a recent result on finite‐dimensional Hilbert spaces, we prove Jensen's inequality for partial traces in semifinite von Neumann algebras. We also prove a similar inequality in the framework of general (non‐tracial) von Neumann algebras.
Mizanur Rahaman, Lyudmila Turowska
wiley   +1 more source