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Characterizing Jordan homomorphisms [PDF]
Acta Scientiarum Mathematicarum, 2020 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 and Harmonic Mappings [PDF]
Monatshefte f�r Mathematik, 2003 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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Gleason–Kahane–Żelazko Theorem for Bilinear Maps
Annales Mathematicae Silesianae, 2022 Let A and B be two unital Banach algebras and 𝔘 = A × B. We prove that the bilinear mapping φ: 𝔘 → ℂ is a bi-Jordan homomorphism if and only if φ is unital, invertibility preserving and jointly continuous.
Zivari-Kazempour Abbas
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Jordan Homomorphisms of Rings [PDF]
Transactions of the American Mathematical Society, 1950 The primary aim of this paper is to study mappings J of rings that are additive and that satisfy the conditions $$ {\left( {{a^2}} \right)^J} = {\left( {{a^J}} \right)^2},\;{\left( {aba} \right)^J} = {a^J}{b^J}{a^J} $$ (1) Such mappings will be called Jordan homomorphisms. If the additive groups admit the operator 1/2 in the sense that 2x = a
Jacobson, Nathan, Rickart, C. E.
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Triple Derivations and Triple Homomorphisms of Perfect Lie Superalgebras [PDF]
, 2016 In this paper, we study triple derivations and triple homomorphisms of perfect Lie superalgebras over a commutative ring $R$. It is proved that, if the base ring contains $\frac{1}{2}$, $L$ is a perfect Lie superalgebra with zero center, then every ...
Chen, Liangyun, Ma, Yao, Zhou, Jia
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An algebraic approach to Wigner's unitary-antiunitary theorem [PDF]
, 1998 We present an operator algebraic approach to Wigner's unitary-antiunitary theorem using some classical results from ring theory. To show how effective this approach is, we prove a generalization of this celebrated theorem for Hilbert modules over matrix ...
Dedicated To Réka Anna, Lajos Moln Ár
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Weyl images of Kantor pairs [PDF]
, 2016 Kantor pairs arise naturally in the study of 5-graded Lie algebras. In this article, we begin the study of simple Kantor pairs of arbitrary dimension. We introduce Weyl images of Kantor pairs and use them to construct examples of Kantor pairs including a
Allison, Bruce +2 more
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Continuity of homomorphisms on pro-nilpotent algebras [PDF]
, 2010 Let V be a variety of not necessarily associative algebras, and A an inverse limit of nilpotent algebras A_i\in V, such that some finitely generated subalgebra S \subseteq A is dense in A under the inverse limit of the discrete topologies on the A_i. A
Bergman, George M.
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Isometries of the unitary groups and Thompson isometries of the spaces of invertible positive elements in C*-algebras [PDF]
, 2014 We show that the existence of a surjective isometry (which is merely a distance preserving map) between the unitary groups of unital C*-algebras implies the existence of a Jordan *-isomorphism between the algebras.
Andruchow +25 more
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On Jordan mappings of inverse semirings
Open Mathematics, 2017 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.
Shafiq Sara, Aslam Muhammad
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