Results 91 to 100 of about 1,540,375 (236)

Hyers-Ulam-Rassias stability of Jordan homomorphisms on Banach algebras

Journal of Inequalities and Applications, 2005
We prove that a Jordan homomorphism from a Banach algebra into a semisimple commutative Banach algebra is a ring homomorphism. Using a signum effectively, we can give a simple proof of the Hyers-Ulam-Rassias stability of a Jordan homomorphism between ...
Hirasawa Go, Miura Takeshi, Takahasi Sin-Ei   +2 more
doaj  

Pseudospectra in Banach Jordan Algebras

Mathematics
The primary focus of this paper is to extend the concept of pseudospectrum from operators and matrices to elements of a unital complex Banach Jordan algebra, thereby moving from the associative to the non-associative setting. We introduce the notion of ε-
Abdelaziz Maouche
doaj   +1 more source

Exceptional quantum geometry and particle physics II

Nuclear Physics B, 2019
We continue the study undertaken in [13] of the relevance of the exceptional Jordan algebra J38 of hermitian 3×3 octonionic matrices for the description of the internal space of the fundamental fermions of the Standard Model with 3 generations.
Michel Dubois-Violette, Ivan Todorov
doaj   +1 more source

A generalisation of Cameron's base size conjecture

Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.
Abstract Let G⩽Sym(Ω)$G\leqslant {\rm Sym}(\Omega)$ be a finite transitive permutation group with point stabiliser H$H$. A base for G$G$ is a subset of Ω$\Omega$ whose pointwise stabiliser is trivial, and the minimal cardinality of a base is called the base size of G$G$, denoted by b(G,Ω)$b(G, \Omega)$. Equivalently, b(G,Ω)$b(G, \Omega)$ is the minimal
Marina Anagnostopoulou‐Merkouri
wiley   +1 more source

Linear Algebra and Smarandache Linear Algebra [PDF]

, 2003
The present book, on Smarandache linear algebra, not only studies the Smarandache analogues of linear algebra and its applications, it also aims to bridge the need for new research topics pertaining to linear algebra, purely in the algebraic sense.
Vasantha, Kandasamy
core   +1 more source

Polynomial identities for the Jordan algebra of a symmetric bilinear form

, 1987
> 1. The main purpose of this paper is to obtain a description of the relatively free algebras FJ,(‘%B) and FJ,(!&) of the varieties of unitary Jordan algebras 2B = var G and 2& = var Gk. The G&-module structure of these algebras is established and their
V. Drensky
semanticscholar   +1 more source

Jordan embeddings and linear rank preservers of structural matrix algebras [PDF]

Linear Algebra and its Applications
We consider subalgebras $\mathcal{A}$ of the algebra $M_n$ of $n \times n$ complex matrices that contain all diagonal matrices, known in the literature as the structural matrix algebras (SMAs). Let $\mathcal{A} \subseteq M_n$ be an arbitrary SMA.
Ilja Gogi'c, Mateo Tomašević
semanticscholar   +1 more source

A trace–path integral formula over function fields

Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.
Abstract We show that an arithmetic path integral over the ℓ$\ell$‐torsion of a Jacobian J[ℓ]$J[\ell]$ is equal to the trace of the Frobenius action on a representation of the Heisenberg group H(J[ℓ])$H(J[\ell])$, up to an explicitly determined sign.
Yan Yau Cheng
wiley   +1 more source

Differential calculus on Jordan algebras and Jordan modules [PDF]

Letters in Mathematical Physics, 2018
Having in mind applications to particle physics we develop the differential calculus over Jordan algebras and the theory of connections on Jordan modules. In particular we focus on differential calculus over the exceptional Jordan algebra and provide a complete characterization of the theory of connections for free Jordan modules.
Carotenuto, Alessandro, Dąbrowski, Ludwik, Dubois-Violette, Michel   +2 more
openaire   +3 more sources

How to see the forest despite the trees

Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.
Abstract One of the major starting points of discrete optimization is the theorem of Nash‐Williams and Tutte on the existence of k$k$ disjoint spanning trees of a graph, along with its counterpart on the existence of k$k$ forests covering all edges of the graph.
Erika Bérczi‐Kovács, András Frank
wiley   +1 more source