Results 61 to 70 of about 11,887 (154)
A Jordan–Chevalley decomposition beyond algebraic groups
Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.Abstract We prove a decomposition of definable groups in o‐minimal structures generalizing the Jordan–Chevalley decomposition of linear algebraic groups. It follows that any definable linear group G$G$ is a semidirect product of its maximal normal definable torsion‐free subgroup N(G)$\mathcal {N}(G)$ and a definable subgroup P$P$, unique up to ...
Annalisa Conversano
wiley +1 more source
Mean‐field limit of non‐exchangeable systems
Communications on Pure and Applied Mathematics, Volume 78, Issue 4, Page 651-741, April 2025.Abstract This paper deals with the derivation of the mean‐field limit for multi‐agent systems on a large class of sparse graphs. More specifically, the case of non‐exchangeable multi‐agent systems consisting of non‐identical agents is addressed. The analysis does not only involve PDEs and stochastic analysis but also graph theory through a new concept ...
Pierre‐Emmanuel Jabin +2 more
wiley +1 more source
The Jordan lattice completion and a note on injective envelopes and von Neumann algebras
, 2018 The article associates two fundamental lattice constructions with each regular unital real ordered Banach space (function system). These are used to establish certain results in the theory of operator algebras, specifically relating the injective ...
Haag, Ulrich
core
Jordan homomorphisms: A survey
The paper surveys the history and state-of-the-art of the study of Jordan homomorphisms.
Brešar, Matej, Zelmanov, Efim
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Jordan homomorphisms of upper triangular matrix rings
Linear Algebra and its Applications, 2013 Let \(T_n(R)\) denote the ring of all upper triangular matrices over a ring \(R\). The main result of the paper states that a Jordan homomorphism \(\varphi\) from \(T_n(R)\) onto \(T_{n'}(R)\), where \(n,n'\geq 2\), is either a homomorphism or an antihomomorphism provided that \(R\) is a unital ring without nontrivial idempotents and \(\varphi(R\cdot 1)
Wang, Yao, Wang, Yu
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On graded classical B-2-absorbing submodules. [PDF]
Heliyon, 2022 Al-Zoubi K, Ali M, Alkhatib M.
europepmc +1 more source
Higher Polynomial Identities for Mutations of Associative Algebras. [PDF]
Results Math, 2023 Bremner MR, Brox J, Sánchez-Ortega J.
europepmc +1 more source
Jordan homomorphisms on triangular matrices
Linear and Multilinear Algebra, 2005 Let be the algebra of all n × n upper triangular matrices over a commutative unital ring . We describe the structure of Jordan homomorphisms from into an arbitrary algebra over . As an application a new proof of our recent result on Jordan derivations on is obtained.
openaire +3 more sources
A Characterization of Bi‐Jordan Homomorphisms on Banach Algebras [PDF]
International Journal of Analysis, 2014 For Banach algebras and , we show that if is unital and commutative, each bi‐Jordan homomorphism from into a semisimple commutative Banach algebra is a bihomomorphism.
openaire +4 more sources
Entropy Treatment of Evolution Algebras. [PDF]
Entropy (Basel), 2022 Mukhamedov F, Qaralleh I.
europepmc +1 more source