Results 21 to 30 of about 21,031 (277)
Mapping the geometry of the E6 group [PDF]
, 2007 In this paper we present a construction for the compact form of the exceptional Lie group E6 by exponentiating the corresponding Lie algebra e6, which we realize as the the sum of f4, the derivations of the exceptional Jordan algebra J3 of dimension 3 ...
Bernardoni, Fabio +4 more
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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.
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On structure and TKK algebras for Jordan superalgebras [PDF]
, 2017 We compare a number of different definitions of structure algebras and TKK constructions for Jordan (super)algebras appearing in the literature. We demonstrate that, for unital superalgebras, all the definitions of the structure algebra and the TKK ...
Barbier, Sigiswald, Coulembier, Kevin
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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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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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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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