Results 21 to 30 of about 865 (267)
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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Generalized Derivations and Bilocal Jordan Derivations of Nest Algebras
International Journal of Mathematics and Mathematical Sciences, 2011 Let H be a complex Hilbert space and B(H) the collection of all linear bounded operators, A is the closed subspace lattice including 0 an H, then A is a nest, accordingly alg A={T∈B(H):TN⊆N, ∀N∈A} is a nest algebra. It will be shown that of nest algebra,
Dangui Yan, Chengchang Zhang
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Centrally Extended Jordan (∗)-Derivations Centralizing Symmetric or Skew Elements
Axioms, 2023 Let A be a non-commutative prime ring with involution ∗, of characteristic ≠2(and3), with Z as the center of A and Π a mapping Π:A→A such that [Π(x),x]∈Z for all (skew) symmetric elements x∈A.
Amal S. Alali +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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Generalized Projective product of semi-rings
Wasit Journal of Computer and Mathematics ScienceThe concept of Differential algebra has been played an influential role in various directions of abstract algebra. This notation has been considered before fifty years ago with semi-ring and several types of rings.
mohd Shahoodh
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International Journal of Mathematics and Mathematical Sciences, 2004 In a recent paper we have extended the classical Herstein's theorem on Jordan derivations on prime rings to Jordan superderivations on prime associative superalgebras. In the present paper we extend this result to semiprime associative superalgebras.
Maja Fošner
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On (m,n)-Derivations of Some Algebras
Demonstratio Mathematica, 2014 Let A be a unital algebra, δ be a linear mapping from A into itself and m, n be fixed integers. We call δ an (m, n)-derivable mapping at Z, if mδ(AB) + nδ(BA) = mδ(A)B + mAδ(B) + nδ(B)A for all A,B ∈ A with AB = Z.
Shen Qihua, Li Jiankui, Guo Jianbin
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Nearly generalized Jordan derivations [PDF]
Mathematica Slovaca, 2011 Abstract Let A be an algebra and let X be an A-bimodule. A ∂-linear mapping d: A → X is called a generalized Jordan derivation if there exists a Jordan derivation (in the usual sense) δ: A → X such that d(a 2) = ad(a)+δ(a)a for all a ∈ A.
Eshaghi Gordji, M., Ghobadipour, N.
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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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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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