Powers of elements in Jordan loops

Kyle Pula

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Jordan superderivations and Jordan triple superderivations of superalgebras

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.

Distinguishing Jordan polynomials by means of a single Jordan-algebra norm

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 $M_{\infty} ()$ with the property that Jordan polynomials over are precisely those associative polynomials over which act ⎮·⎮-continuously on $M_{\infty} ()$ . This analytic determination of Jordan polynomials improves the one recently obtained in [5].

Jordan's Cours d'Analyse / C. Jordan (Review).

J. Harkness (1893/94)

Bulletin of the New York Mathematical Society

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On Jordan mappings of inverse semirings

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.

The norm extension problem: positive results and limits.

A. Moreno Galindo, A. Rodríguez Palacios (1997)

Extracta Mathematicae

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Cartan-Involution von halbeinfachen reellen Jordan-Tripelsystemen.

Eberhard Neher (1979)

Mathematische Zeitschrift

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An identity related to Jordan's inequality.

Li, Jian-Lin (2006)

International Journal of Mathematics and Mathematical Sciences

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Springer Forms and the First Tits Construction of Exceptional Jordan Division Algebras.

Holger P. Petersson, M.L. Racine (1983)

Manuscripta mathematica

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A structure theory for Jordan $H^{*}$ -pairs

A. J. Calderón Martín, C. Martín González (2004)

Bollettino dell'Unione Matematica Italiana

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Jordan $H^{*}$ -pairs appear, in a natural way, in the study of Lie $H^{*}$ -triple systems ([3]). Indeed, it is shown in [4, Th. 3.1] that the problem of the classification of Lie $H^{*}$ -triple systems is reduced to prove the existence of certain $L^{*}$ -algebra envelopes, and it is also shown in [3] that we can associate topologically simple nonquadratic Jordan $H^{*}$ -pairs to a wide class of Lie $H^{*}$ -triple systems and then the above envelopes can be obtained from a suitable classification, in terms of associative...