Results 61 to 70 of about 79,275 (247)
Isotopisms of Jordan Algebras [PDF]
Proceedings of the American Mathematical Society, 1969 R. H. Oehmke and R. Sandler have shown in [4] that the middle nucleus of a finite-dimensional semisimple Jordan algebra coincides with its center providing the base field has a characteristic different from 2. By the middle nucleus of a commutative algebra A we mean the set of those elements x in A, for which the associator (y, x, z) = (yx)z-y(xz ...
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On conformal Jordan cells of finite and infinite rank
, 2004 This work concerns in part the construction of conformal Jordan cells of infinite rank and their reductions to conformal Jordan cells of finite rank. It is also discussed how a procedure similar to Lie algebra contractions may reduce a conformal Jordan ...
I. Bakas +6 more
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Entropy rigidity for cusped Hitchin representations
Journal of Topology, Volume 19, Issue 1, March 2026.Abstract We establish an entropy rigidity theorem for Hitchin representations of geometrically finite Fuchsian groups which generalizes a theorem of Potrie and Sambarino for Hitchin representations of closed surface groups. In the process, we introduce the class of (1,1,2)‐hypertransverse groups and show for such a group that the Hausdorff dimension of
Richard Canary +2 more
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On the constructions of Tits and Faulkner: an isomorphism theorem
International Journal of Mathematics and Mathematical Sciences, 2001 Classification theory guarantees the existence of an isomorphism between any two E8's, at least over an algebraically closed field of characteristic 0.
Sudhir R. Nath
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Some conditions under which Jordan derivations are zero
Journal of Taibah University for Science, 2017 In the current article, we obtain the following results: Let A be an algebra and P be a semi-prime ideal of A. Suppose that d:Aâ(A/P) is a Jordan derivation such that dim{d(a)|aâA}â¤1. If d(P)={0}, then d is zero.
Z. Jokar, A. Hosseini, A. Niknam
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Conservative algebras of $2$-dimensional algebras, II
, 2015 In 1990 Kantor defined the conservative algebra $W(n)$ of all algebras (i.e. bilinear maps) on the $n$-dimensional vector space. If $n>1$, then the algebra $W(n)$ does not belong to any well-known class of algebras (such as associative, Lie, Jordan, or ...
Kaygorodov, Ivan, Volkov, Yury
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Convergence properties of dynamic mode decomposition for analytic interval maps
Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 179-206, February 2026.Abstract Extended dynamic mode decomposition (EDMD) is a data‐driven algorithm for approximating spectral data of the Koopman operator associated to a dynamical system, combining a Galerkin method with N$N$ functions and a quadrature method with M$M$ quadrature nodes.
Elliz Akindji +3 more
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Journal of Mathematics, 2021 The aim of the paper is to give a description of nonlinear Jordan derivable mappings of a certain class of generalized matrix algebras by Lie product square-zero elements.
Xiuhai Fei, Haifang Zhang
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Jordan Derivations and Antiderivations of Generalized Matrix Algebras [PDF]
, 2012 Let $\mathcal{G}=[A & M N & B]$ be a generalized matrix algebra defined by the Morita context $(A, B,_AM_B,_BN_A, \Phi_{MN}, \Psi_{NM})$. In this article we mainly study the question of whether there exist proper Jordan derivations for the generalized ...
Feng Wei, Leon Van, Wyk, Yanbo Li
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Nodal Noncommutative Jordan Algebras [PDF]
Transactions of the American Mathematical Society, 1964 1. A finite-dimensional power-associative algebra ' is said to be nodal [6] if every element of V can be written as a I + z where ai E c 1 is the unity element of W and z is nilpotent and if the set of all nilpotent elements is not a subalgebra of W. In [3; 4], Kokoris has shown that every simple nodal noncommutative Jordan algebra of characteristic p ...
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