Results 21 to 30 of about 78,123 (278)

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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Local derivations on Jordan triples [PDF]

Bulletin of the London Mathematical Society, 2013
R.V. Kadison defined the notion of local derivation on an algebra and proved that every continuous local derivation on a von Neumann algebra is a derivation (Kadison 1990). We provide the analogous result in the setting of Jordan triples.
openaire   +4 more sources

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
doaj   +1 more source

Quadratic functionals and Jordan *-derivations [PDF]

Studia Mathematica, 1990
Let \(A\) be a real Banach \(*\)-algebra with identity. A Jordan \(*\)- derivation on \(A\) is a function \(D: A\to A\), not necessarily linear, with the properties \[ D(a+b)=D(a)+D(b), \qquad D(a^ 2)=aD(a)+D(a)a^* \] for all \(a,b\in a\). Now let \(X\) be a real vector space which is also an \(A\)- module.
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On Jordan triple (σ,τ)-higher derivation of triangular algebra

Special Matrices, 2018
Let R be a commutative ring with unity, A = Tri(A,M,B) be a triangular algebra consisting of unital algebras A,B and (A,B)-bimodule M which is faithful as a left A-module and also as a right B-module.
Ashraf Mohammad, Jabeen Aisha, Parveen Nazia   +2 more
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Some conditions under which Jordan derivations are zero

Journal of Taibah University for Science, 2017
In the current article, we obtain the following results: Let A be an algebra and P be a semi-prime ideal of A. Suppose that d:A→(A/P) is a Jordan derivation such that dim{d(a)|a∈A}≤1. If d(P)={0}, then d is zero.
Z. Jokar, A. Hosseini, A. Niknam
doaj   +1 more source

Nonlinear Jordan Derivable Mappings of Generalized Matrix Algebras by Lie Product Square-Zero Elements

Journal of Mathematics, 2021
The aim of the paper is to give a description of nonlinear Jordan derivable mappings of a certain class of generalized matrix algebras by Lie product square-zero elements.
Xiuhai Fei, Haifang Zhang
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A CHARACTERIZATION OF DERIVATIONS AND AUTOMORPHISMS ON SOME SIMPLE ALGEBRAS

Ural Mathematical Journal, 2022
In the present paper, we study simple algebras, which do not belong to the well-known classes of algebras (associative algebras, alternative algebras, Lie algebras, Jordan algebras, etc.).
Farhodjon Arzikulov, Furqatjon Urinboyev, Shahlo Ergasheva   +2 more
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Jordan derivations on semiprime rings [PDF]

Proceedings of the American Mathematical Society, 1988
I. N. Herstein has proved that any Jordan derivation on a 2 2 -torsion free prime ring is a derivation. In this paper we prove that Herstein’s result is true in 2 2 -torsion free semiprime rings. This result makes it possible for us to prove that any linear Jordan derivation on a semisimple Banach algebra is continuous,
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Jordan left (?,?) -derivations Of ?-prime rings

مجلة بغداد للعلوم, 2011
It was known that every left (?,?) -derivation is a Jordan left (?,?) – derivation on ?-prime rings but the converse need not be true. In this paper we give conditions to the converse to be true.
Baghdad Science Journal
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