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The restricted simple Lie algebras are of classical or Cartan type. [PDF]
Block RE, Wilson RL.
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Natural Alternatives to Natural Number: The Case of Ratio. [PDF]
Matthews PG, Ellis AB.
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Jordan homomorphisms of triangular algebras over noncommutative algebras [PDF]
Оксана Безущак
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A PROPERTY OF SPECIAL JORDAN ALGEBRAS. [PDF]
Albert AA.
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Methodological Problems on the Way to Integrative Human Neuroscience. [PDF]
Kotchoubey B +14 more
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Generalized jordan homomorphisms in fréchet algebras
M. Eshaghi Gordji +3 more
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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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Characterizations of Jordan derivations and Jordan homomorphisms
Linear and Multilinear Algebra, 2011Let 𝒜 be a unital Banach algebra and ℳ be a unital 𝒜-bimodule. We show that if δ is a linear mapping from 𝒜 into ℳ satisfying δ(ST) = δ(S)T +Sδ(T) for any S, T ∈ 𝒜 with ST = W, where W is a left or right separating point of ℳ, then δ is a Jordan derivation.
Jiankui Li, Jiren Zhou
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