Results 51 to 60 of about 928,268 (284)
On the filtration of a free algebra by its associative lower central series [PDF]
, 2013 This paper concerns the associative lower central series ideals $M_i$ of the free algebra $A_n$ on $n$ generators. Namely, we study the successive quotients $N_i=M_i/M_{i+1}$, which admit an action of the Lie algebra $W_n$ of vector fields on $\Bbb C^n$.
Kerchev, George
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Jordan-Morphisms in ∗ -Algebras [PDF]
Proceedings of the American Mathematical Society, 1982 As a continuation of Størmer’s work on Jordan-morphisms in C ∗ C* -algebras we consider Jordan-morphisms φ \varphi from ∗ * -algebras A \mathfrak {A} into the ∗ * -algebra B ( H )
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A characterization of nilpotent nonassociative algebras by invertible Leibniz-derivations [PDF]
, 2016 Moens proved that a finite-dimensional Lie algebra over field of characteristic zero is nilpotent if and only if it has an invertible Leibniz-derivation.
Kaygorodov, Ivan, Popov, Yury
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Linear Algebra and its Applications, 2010 AbstractCommutative Jordan algebras play a central part in orthogonal models. The generations of these algebras is studied and applied in deriving lattices of such algebras. These lattices constitute the natural framework for deriving new orthogonal models through factor aggregation and disaggregation.
João T. Mexia +3 more
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Triangularization of a Jordan Algebra of Schatten Operators [PDF]
, 2007 We show that a Jordan algebra of compact quasinilpotent operators which contains a nonzero trace class operator has a common invariant subspace. As a consequence of this result, we obtain that a Jordan algebra of quasinilpotent Schatten operators is ...
M. Kennedy
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Differential calculus on Jordan algebras and Jordan modules [PDF]
Letters in Mathematical Physics, 2018 Having in mind applications to particle physics we develop the differential calculus over Jordan algebras and the theory of connections on Jordan modules. In particular we focus on differential calculus over the exceptional Jordan algebra and provide a complete characterization of the theory of connections for free Jordan modules.
Carotenuto, Alessandro +2 more
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Zero Triple Product Determined Matrix Algebras
Journal of Applied Mathematics, 2012 Let A be an algebra over a commutative unital ring C. We say that A is zero triple product determined if for every C-module X and every trilinear map {⋅,⋅,⋅}, the following holds: if {x,y,z}=0 whenever xyz=0, then there exists a C-linear operator T:A3⟶X ...
Hongmei Yao, Baodong Zheng
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σ-derivations on generalized matrix algebras
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 Let be a commutative ring with unity, 𝒜, be -algebras, be (𝒜, )-bimodule and 𝒩 be (, 𝒜)-bimodule. The -algebra 𝒢 = 𝒢(𝒜, , 𝒩, ) is a generalized matrix algebra defined by the Morita context (𝒜, , , 𝒩, ξ𝒩, Ω𝒩).
Jabeen Aisha +2 more
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The Ring of Fractions of a Jordan Algebra
, 2001 We derive a necessary and sufficient Ore type condition for a Jordan algebra to have a ring of fractions.
C. Martínez
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