Results 11 to 20 of about 12,088 (187)
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(
Matej Brešar, Efim Zelmanov
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Extending a Jordan ring homomorphism [PDF]
Proceedings of the American Mathematical Society, 1973 In this paper a homomorphism from an ideal B \mathcal {B} of a quadratic Jordan algebra J \mathcal {J} without 2 2 -torsion over a ring Φ \Phi onto a unital quadratic Jordan algebra J ′ \mathcal {J}’ without
Robert Lewand
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Fuzzy n-Jordan *-homomorphisms in induced fuzzy C*-algebras [PDF]
Bulletin of the Iranian Mathematical Society, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Choonkil Park +3 more
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Jordan homomorphisms and right alternative rings [PDF]
Proceedings of the American Mathematical Society, 1957 for every a, bER. R. L. San Soucie [4] calls a nonassociative ring R strongly right alternative in case its right multiplications a': x-*xa satisfy (I) and (II). (Every right alternative ring in which 2a=0 implies a=0 is strongly right alternative just as (I) implies (II) under the same assumption in the associative case.) In a recent paper [5] we ...
M. F. Smiley
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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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Characterization of mixed n-Jordan and pseudo n-Jordan homomorphisms
Iranian Journal of Science and Technology, Transactions A: Science, 2020 Let $$n\in \mathbb {N}$$ , A and B be Banach algebras and let B be a right A-module. We say that a linear mapping $$\varphi :A ...
Masoumeh Neghabi +2 more
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Splittable Jordan homomorphisms and commutator ideals [PDF]
Journal of AlgebraWe define a Jordan homomorphism $φ$ from a ring $R$ to a ring $R'$ to be splittable if the ideal (of the subring generated by the image of $φ$) generated by all $φ(xy)-φ(x)φ(y)$, $x,y\in R$, has trivial intersection with the ideal generated by all $φ(xy)-φ(y)φ(x)$, $x,y\in R$. Our main result states that a splittable Jordan homomorphism is the sum of a
Matej Brešar
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A Characterization of Bi‐Jordan Homomorphisms on Banach Algebras [PDF]
International Journal of Analysis, 2017 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.
Abbas Zivari-Kazempour
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Automatic Continuity of Almost $n$-Multiplicative Linear Functionals [PDF]
Sahand Communications in Mathematical Analysis, 2022 We generalize a theorem due to Jarosz, by proving that every almost $n$-multiplicative linear functional on Banach algebra $A$ is automatically continuous.
Abbas Zivari-Kazempour
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