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Relations Between n-Jordan Homomorphisms and n-Homomorphisms
Bulletin of the Iranian Mathematical Society, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Taher Ghasemi Honary +2 more
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Nearly Jordan ∗-Homomorphisms between Unital 𝐶∗-Algebras [PDF]
Abstract and Applied Analysis, 2011 Let 𝐴, 𝐵 be two unital 𝐶∗-algebras. We prove that every almost unital almost linear mapping ℎ : 𝐴→𝐵 which satisfies ℎ(3𝑛𝑢𝑦+3𝑛𝑦𝑢)=ℎ(3𝑛𝑢)ℎ(𝑦)+ℎ(𝑦)ℎ(3𝑛𝑢) for all 𝑢∈𝑈(𝐴), all 𝑦∈𝐴, and all 𝑛=0,1,2,…, is a Jordan homomorphism.
A. Ebadian +2 more
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A note on n-Jordan homomorphisms
Математичні Студії{Let $ A, B $ be two rings and $ n\geqslant 2 $ be an integer. An additive map $ h\colon A\rightarrow B $ is called an $n$-Jordan homomorphism if $ h(x^{n})=h(x)^{n} $ for all $ x\in A;$ $h$ is called an n-homomorphism or an anti-$n$-homomorphism if $ h(\
M. El Azhari
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Jordan homomorphisms and T-ideals
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Let $A$ and $B$ be associative algebras over a field $F$ with {\rm char}$(F)\ne 2$. Our first main result states that if $A$ is unital and equal to its commutator ideal, then every Jordan epimorphism $φ:A\to B$ is the sum of a homomorphism and an antihomomorphism. Our second main result concerns (not necessarily surjective) Jordan homomorphisms from $H(
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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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.
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Orthogonally C∗-Ternary Jordan Homomorphisms and Jordan Derivations: Solution and Stability
Journal of Mathematics, 2022 In this work, by using some orthogonally fixed point theorem, we prove the stability and hyperstability of orthogonally C∗-ternary Jordan homomorphisms between C∗-ternary Banach algebras and orthogonally C∗-ternary Jordan derivations of some functional ...
Vahid Keshavarz, Sedigheh Jahedi
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Mathematics, 2022 In this work, by considering a class of matrix valued fuzzy controllers and using a (κ,ς)-Cauchy–Jensen additive functional equation ((κ,ς)-CJAFE), we apply the Radu–Mihet method (RMM), which is derived from an alternative fixed point theorem, and obtain
Zahra Eidinejad +2 more
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Characterizing Jordan homomorphisms [PDF]
Acta Scientiarum Mathematicarum, 2020 It is shown that every bounded, unital linear mapping that preserves elements of square zero from a C*-algebra of real rank zero and without tracial states into a Banach algebra is a Jordan ...
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