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Jordan Higher Bi- Homomorphism and Co- Jordan Higher Bi- Homomorphism on Banach Algebra
The concepts of higher Bi- homomorphism and Jordan higher Bi- homomorphism have been introduced and studied the relation between Jordan and ordinary higher Bi- homomorphism also the concepts of Co- higher Bi- homomorphism and Co- Jordan higher Bi ...
Rajaa Chaffat Shaheen
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Jordan Homomorphism on ΓM- Modules [PDF]
The aim object of this paper is present and study the concepts of homomorphism and Jordan homomorphism on -module and prove that every Jordan homomorphism from -ring M Into prime -module X is either a homomorphism from M into X or anti-homomorphism from ...
Sind K. Ibrahim
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A note on n-Jordan homomorphisms
{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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Nearly Jordan ∗-Homomorphisms between Unital 𝐶∗-Algebras [PDF]
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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Automatic Continuity of Almost $n$-Multiplicative Linear Functionals [PDF]
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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Relations Between n-Jordan Homomorphisms and n-Homomorphisms
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Taher Ghasemi Honary +2 more
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Characterizing Jordan homomorphisms [PDF]
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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Jordan *-homomorphisms on C^*-algebras [PDF]
In this paper, we investigate Jordan *-homomorphisms on $C^*$-algebras associated with the following functional inequality $\|f(\frac{b-a}{3})+f(\frac{a-3c}{3})+f(\frac{3a+3c-b}{3})\| \leq \|f(a)\|.$ We moreover prove the superstability and the generalized Hyers-Ulam stability of Jordan *-homomorphisms on $C^*$-algebras associated with the following ...
Gordji, M. Eshaghi +2 more
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Jordan Homomorphisms and Harmonic Mappings [PDF]
We show that each Jordan homomorphism $R\to R'$ of rings gives rise to a harmonic mapping of one connected component of the projective line over $R$ into the projective line over $R'$. If there is more than one connected component then this mapping can be extended in various ways to a harmonic mapping which is defined on the entire projective line over
Blunck, Andrea, Havlicek, Hans
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