Positive projections and Jordan structure in operator algebras.
Erling Stormer, Edward G. Effros (1979)
Mathematica Scandinavica
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Erling Stormer, Edward G. Effros (1979)
Mathematica Scandinavica
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M. Cabrera Garcia, A. Moreno Galindo, A. Rodríguez Palacios, E. Zel'manov (1996)
Studia Mathematica
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We prove that there exists a real or complex central simple associative algebra M with minimal one-sided ideals such that, for every non-Jordan associative polynomial p, a Jordan-algebra norm can be given on M in such a way that the action of p on M becomes discontinuous.
Wilhelm Kaup (1984)
Mathematica Scandinavica
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L.L. Stachó (1990)
Mathematica Scandinavica
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Ottmar Loos (1989)
Collectanea Mathematica
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G.K. Pedersen, N.H. Petersen (1970)
Mathematica Scandinavica
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He Yuan, Liangyun Chen (2016)
Colloquium Mathematicae
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We study Jordan (θ,θ)-superderivations and Jordan triple (θ,θ)-superderivations of superalgebras, using the theory of functional identities in superalgebras. As a consequence, we prove that if A = A₀ ⊕ A₁ is a prime superalgebra with deg(A₁) ≥ 9, then Jordan superderivations and Jordan triple superderivations of A are superderivations of A, and generalized Jordan superderivations and generalized Jordan triple superderivations of A are generalized superderivations of A.
A. Fernández López, E. García Rus, E. Sánchez Campos (1989)
Extracta Mathematicae
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A. Moreno Galindo (1997)
Studia Mathematica
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For = ℝ or ℂ we exhibit a Jordan-algebra norm ⎮·⎮ on the simple associative algebra with the property that Jordan polynomials over are precisely those associative polynomials over which act ⎮·⎮-continuously on . This analytic determination of Jordan polynomials improves the one recently obtained in [5].
Antonio Fernández López (1992)
Publicacions Matemàtiques
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In this paper we prove that a nondegenerate Jordan algebra satisfying the descending chain condition on the principal inner ideals, also satisfies the ascending chain condition on the annihilators of the principal inner ideals. We also study annihilators in Jordan algebras without nilpotent elements and in JB-algebras.
Sara Shafiq, Muhammad Aslam (2017)
Open Mathematics
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In this paper, the notions of Jordan homomorphism and Jordan derivation of inverse semirings are introduced. A few results of Herstein and Brešar on Jordan homomorphisms and Jordan derivations of rings are generalized in the setting of inverse semirings.
Ottmar Loos (1991)
Mathematische Zeitschrift
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Ulf Uttersud (1978)
Mathematica Scandinavica
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Paul Civin (1962)
Mathematica Scandinavica
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