Results 41 to 50 of about 4,914,484 (359)
JORDAN $\epsilon$-HOMOMORPHISMS AND JORDAN $\epsilon$-DERIVATIONS [PDF]
Taiwanese Journal of Mathematics, 2005 Herstein’s theorems on Jordan homomorphisms and Jordan derivations on prime associative algebras are extended to graded prime associative algebras.
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Generalized Jordan triple derivations associated with Hochschild 2–cocycles of rings
Journal of the Egyptian Mathematical Society, 2019 In the present work, we introduce the notion of a generalized Jordan triple derivation associated with a Hochschild 2–cocycle, and we prove results which imply under some conditions that every generalized Jordan triple derivation associated with a ...
O. H. Ezzat, H. Nabiel
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Jordan derivations on certain Banach algebras [PDF]
arXiv, 2023 In this paper, we study the types of Jordan derivations of a Banach algebra $A$ with a right identity $e$. We show that if $eA$ is commutative and semisimple, then every Jordan derivation of $ A $ is a derivation. In this case, Jordan derivations map $A$ into the radical of $A$. We also prove that every Jordan triple left (right) derivation of $ A $ is
arxiv
On Jordan ∗-mappings in rings with involution
Journal of the Egyptian Mathematical Society, 2016 The objective of this paper is to study Jordan ∗-mappings in rings with involution ∗. In particular, we prove that if R is a prime ring with involution ∗, of characteristic different from 2 and D is a nonzero Jordan ∗-derivation of R such that [D(x),x]=0,
Shakir Ali +2 more
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Electronic Research Archive, 2023 In this note we proved that each nonlinear generalized semi-Jordan triple derivable mapping on completely distributive commutative subspace lattice algebras is an additive derivation.
Fei Ma +3 more
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GENERALIZED JORDAN DERIVATIONS ON SEMIPRIME RINGS [PDF]
Journal of the Australian Mathematical Society, 2019 The purpose of this note is to prove the following. Suppose $\mathfrak{R}$ is a semiprime unity ring having an idempotent element $e$ ($e\neq 0,~e\neq 1$) which satisfies mild conditions. It is shown that every additive generalized Jordan derivation on $\mathfrak{R}$ is a generalized derivation.
Bruno Leonardo Macedo Ferreira +2 more
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Generalized Derivations and Generalized Jordan Derivations on C∗-Algebras through Zero Products
Journal of Mathematics, 2022 Let A be a unital C∗-algebra and X be a unitary Banach A-bimodule. In this paper, we characterize continuous generalized derivations and generalized Jordan derivations as form D:A⟶X through the action on zero product.
Abbas Zivari-Kazempour, Abasalt Bodaghi
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Jordan triple derivation on alternative rings
Proyecciones (Antofagasta), 2018 Let D be a mapping from an alternative ring R into itself satisfying D(a · ba) = D(a) · ba+ a · D(b)a +a · bD(a) for all a, b ∈ R. Under some conditions on R, we show that D is additive.
R. N. Ferreira, B. Ferreira
semanticscholar +1 more source
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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Characterization of Jordan centralizers and Jordan two-sided centralizers on triangular rings without assuming unity [PDF]
arXiv, 2021 The main purpose of this paper is to show that every Jordan centralizer and every Jordan two-sided centralizer is a centralizer on triangular rings without assuming unity. As an application, we prove that every Jordan generalized derivation on a triangular ring is a two-sided generalized derivation. Some other related results are also discussed.
arxiv