Results 11 to 20 of about 1,329 (298)
On generalized Jordan derivations of Lie triple systems [PDF]
Proceedings of the American Mathematical Society, 2010 summary:Under some conditions we prove that every generalized Jordan triple derivation on a Lie triple system is a generalized derivation. Specially, we conclude that every Jordan triple $\theta $-derivation on a Lie triple system is a $\theta ...
Jiren Zhou +4 more
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On Jordan ideals with left derivations in 3-prime near-rings
Extracta Mathematicae, 2023 We will extend in this paper some results about commutativity of Jordan ideals proved in [2] and [6]. However, we will consider left derivations instead of derivations, which is enough to get good results in relation to the structure of near-rings.
A. En-guady, A. Boua
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Jordan derivations of unital algebras with idempotents
Linear Algebra and its Applications, 2012 We consider Jordan derivations of a unital algebra A having a nontrivial idempotent. It turns out that on unital algebras there exist Jordan derivations that are not derivations.
Benkovič, Dominik, Širovnik, Nejc
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Derivations and Deformations of δ-Jordan Lie Supertriple Systems
Advances in Mathematical Physics, 2019 Let T be a δ-Jordan Lie supertriple system. We first introduce the notions of generalized derivations and representations of T and present some properties.
Shengxiang Wang +2 more
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Jordan Derivations and Lie Derivations on Path Algebras [PDF]
Bulletin of the Iranian Mathematical Society, 2018 Without the faithful assumption, we prove that every Jordan derivation on a class of path algebras of quivers without oriented cycles is a derivation and that every Lie derivation on such kinds of algebras is of the standard form.
Li, Y., Wei, F.
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Study of Additively Regular Г -Semirings and Derivations
Discussiones Mathematicae - General Algebra and Applications, 2022 In this paper, the notions of commutator and derivation in additively regular -semirings with (A2, Г)-condition are introduced. We also characterize Jordan product for additively regular Г -semiring and establish some results which investigate the ...
Dadhwal Madhu, Neelam
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Jordan ideals and derivations in prime near-rings [PDF]
, 2014 summary:In this paper we investigate $3$-prime near-rings with derivations satisfying certain differential identities on Jordan ideals, and we provide examples to show that the assumed restrictions cannot be ...
Raji, Abderrahmane +2 more
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JORDAN DERIVATIONS AND JORDAN LEFT DERIVATIONS OF BANACH ALGEBRAS
Communications of the Korean Mathematical Society, 2002 Summary: We obtain some results concerning Jordan derivations and Jordan left derivations mapping into the Jacobson radical. Our main result is the following: Let \(d\) be a Jordan derivation (resp. Jordan left derivation) of a complex Banach algebra \(A\). If \(d^2(x)=0\) for all \(x\in A\), then we have \(d(A)\subseteq\text{rad}(A)\).
Park, Kyoo-Hong, Jung, Yong-Soo
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Commutativity of a 3-Prime near Ring Satisfying Certain Differential Identities on Jordan Ideals
Mathematics, 2020 The purpose of this study is to obtain the commutativity of a 3-prime near ring satisfying some differential identities on Jordan ideals involving derivations and multiplicative derivations.
Asma Ali, Inzamam ul Huque
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Symmetry and Self-Duality in Categories of Probabilistic Models [PDF]
Electronic Proceedings in Theoretical Computer Science, 2012 This note adds to the recent spate of derivations of the probabilistic apparatus of finite-dimensional quantum theory from various axiomatic packages. We offer two different axiomatic packages that lead easily to the Jordan algebraic structure of finite ...
Alexander Wilce
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