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Asymptotic Behavior of n-Jordan Homomorphisms
Mediterranean Journal of Mathematics, 2020The notion of \(n\)-Jordan homomorphism was introduced by \textit{I. N. Herstein} [Trans. Am. Math. Soc. 81, 331--341 (1956; Zbl 0073.02202)]. The author corrects the statements of the main results given by \textit{Sh. G. Ghaleh} and \textit{Kh. Ghasemi} [Bull. Iran. Math. Soc. 39, No.
Hamid Khodaei
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JORDAN HOMOMORPHISMS ON ASSOCIATIVE PAIRS
JP Journal of Algebra, Number Theory and Applications, 2017Summary: The aim of this paper consists in proving that any Jordan homomorphism defined from an associative pair \(A=(A^+,A^-)\) onto a prime associative pair \(B=(B^+,B^-)\) is a homomorphism or an antihomomorphism generalizing by the way a brilliant result due to \textit{I. N. Herstein} [Trans. Am. Math. Soc. 81, 331--341 (1956; Zbl 0073.02202)] to a
Zarhouti, Chafika, Marhnine, Hassan
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On \((n,m)\)-Jordan homomorphisms on algebras
2021Summary: In this paper, we show that every \((n,m)\)-Jordan homomorphism between two commutative algebras is an \((n,m)\)-homomorphism. For the non-commutative case, we prove that every surjective \((2,m)\)-Jordan homomorphism from an algebra \(\mathcal{A}\) to a semiprime commutative algebra \(\mathcal{B}\) is \((2,m)\)-homomorphism.
Bodaghi, Abasalt +2 more
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Characterization of additive *-homomorphisms and Jordan *-homomorphisms on operator ideals
Aequationes Mathematicae, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Homomorphic Images of Special Jordan Algebras
Canadian Journal of Mathematics, 1954A linear algebra is called a Jordan algebra if it satisfies the identities(1) ab = ba, (a2b) a = a2(ba).It is well known that a linear algebra S over a field of characteristic different from two is a Jordan algebra if there is an isomorphism a → a of the vector-space underlying S into the vector-space of some associative algebra A such that1,where the ...
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Iranian Journal of Science and Technology, Transactions A: Science, 2020
We show that every Banach algebra $${\mathcal {A}}$$ is 3-Jordan functionally continuous. More especially, every 3-Jordan homomorphism from a Banach algebra $${\mathcal {A}}$$ into a commutative semisimple Banach algebra $${\mathcal {B}}$$ is automatically continuous.
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We show that every Banach algebra $${\mathcal {A}}$$ is 3-Jordan functionally continuous. More especially, every 3-Jordan homomorphism from a Banach algebra $${\mathcal {A}}$$ into a commutative semisimple Banach algebra $${\mathcal {B}}$$ is automatically continuous.
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On n-Jordan Homomorphisms between Banach Algebras
Bulletin of the Malaysian Mathematical Sciences SocietyzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Taher Ghasemi Honary +2 more
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Linear Maps Which Are Homomorphisms or Jordan Homomorphisms at a Point
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Relations Between Almost n-Jordan Homomorphisms and Almost n-Homomorphisms
Iranian Journal of Science and Technology, Transaction A: Science, 2022Taher Ghasemi Honary
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