Results 21 to 30 of about 5,311,848 (309)
2-Local derivations of infinite-dimensional Lie algebras
In the present paper, we study 2-local derivations of infinite-dimensional Lie algebras over a field of characteristic zero. We prove that all 2-local derivations of the Witt algebra as well as of the positive Witt algebra and the classical one-sided ...
Sh. A. Ayupov, B. Yusupov
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Commutativity with Derivations of Semiprime Rings
Let R be a 2-torsion free semiprime ring with the centre Z(R), U be a non-zero ideal and d: R → R be a derivation mapping.
Atteya Mehsin Jabel
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Local derivations on finite-dimensional Lie algebras [PDF]
We prove that every local derivation on a finite-dimensional semisimple Lie algebra over an algebraically closed field of characteristic zero is a derivation.
Sh. A. Ayupov, K. Kudaybergenov
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3-Derivations and 3-Automorphisms on Lie Algebras
In this paper, first we establish the explicit relation between 3-derivations and 3- automorphisms of a Lie algebra using the differential and exponential map.
Haobo Xia
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Quantitative structuring is a rigorous framework for the design of financial products. We show how it incorporates traditional investment ideas while supporting a more accurate expression of clients' views. We touch upon adjacent topics regarding the safety of financial derivatives and the role of pricing models in product design.
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Generalized derivations of (color) n-ary algebras [PDF]
We generalize the results of Leger and Luks about generalized derivations of Lie algebras to the case of color -ary -algebras. Particularly, we prove some properties of generalized derivations of color -ary algebras; prove that a quasi-derivation algebra
I. Kaygorodov, Yury Popov
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Deformations of Lie Algebras using σ-Derivations [PDF]
In this article we develop an approach to deformations of the Witt and Virasoro algebras based on sigma-derivations. We show that sigma-twisted Jacobi type identity holds for generators of such deformations.
J. Hartwig +2 more
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DERIVED TERMS WITHOUT DERIVATION A SHIFTED PERSPECTIVE ON THE DERIVED-TERM AUTOMATON
We present here a construction for the derived term automaton (aka partial derivative, or Antimirov, automaton) of a rational (or regular) expression based on a sole induction on the depth of the expression and without making reference to an operation of derivation of the expression.
Lombardy, Sylvain, Sakarovitch, Jacques
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On Implicative Derivations of MTL-Algebras
This paper introduces the implicative derivations and gives some of their characterizations on MTL-algebras. Furthermore, we provide some representation of MTL-algebras by implicative derivations and obtain some representation of Boolean algebra via the ...
Jianxin Liu +3 more
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Jordan derivations of finitary incidence rings [PDF]
Let P be a preordered set, R a ring and FI(P, R) the finitary incidence ring of P over R. We find a criterion for all the Jordan derivations of FI(P, R) to be derivations.
M. Khrypchenko
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