Results 31 to 40 of about 4,654,602 (342)
Jordan automorphisms, Jordan derivations of generalized triangular matrix algebra
International Journal of Mathematics and Mathematical Sciences, 2005 We investigate Jordan automorphisms and Jordan derivations of a class of algebras called generalized triangular matrix algebras. We prove that any Jordan automorphism on such an algebra is either an automorphism or an antiautomorphism and any Jordan ...
Aiat Hadj Ahmed Driss +1 more
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Derivation Requirements on Prime Near-Rings for Commutative Rings
Jurnal Ilmu Dasar, 2019 Near-ring is an extension of ring without having to fulfill a commutative of the addition operations and left distributive of the addition and multiplication operations It has been found that some theorems related to a prime near-rings are commutative ...
Dian Winda Setyawati +2 more
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Characterization of Non-Linear Bi-Skew Jordan n-Derivations on Prime ∗-Algebras
Axioms, 2023 Let A be a prime *-algebra. A product defined as U•V=UV∗+VU∗ for any U,V∈A, is called a bi-skew Jordan product. A map ξ:A→A, defined as ξpnU1,U2,⋯,Un=∑k=1npnU1,U2,...,Uk−1,ξ(Uk),Uk+1,⋯,Un for all U1,U2,...,Un∈A, is called a non-linear bi-skew Jordan n ...
Asma Ali, Amal S. Alali, Mohd Tasleem
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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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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
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