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Leibniz algebras with derivations
Journal of Homotopy and Related Structures, 2020In this paper, we consider Leibniz algebras with derivations. A pair consisting of a Leibniz algebra and a distinguished derivation is called a LeibDer pair. We define a cohomology theory for LeibDer pair with coefficients in a representation.
A. Das
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2-Local derivations on generalized Witt algebras
Linear and multilinear algebra, 2019In the present paper, we study 2-local derivations on the so-called infinite dimensional generalized Witt algebras. Firstly, we prove that every 2-local derivation on the generalized Witt algebra over the vector space is a derivation, where is a field of
Sh. A. Ayupov +2 more
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On the Lie derivations and generalized Lie derivations of quaternion rings
Communications in Algebra, 2019Let S be a unital ring in which 2 is invertible, and let be the quaternion ring over S. In this paper, we describe the Lie derivations and generalized Lie derivations of R, we show that if S is commutative or semiprime, then every Lie derivation (resp ...
H. Ghahramani +2 more
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Local and 2-Local Derivations and Automorphisms on Simple Leibniz Algebras
Bulletin of the Malaysian Mathematical Sciences Society, 2017This paper is devoted to study local and 2-local derivations and automorphism of complex finite-dimensional simple Leibniz algebras. We show that all local derivations and 2-local derivations on a finite-dimensional complex simple Leibniz algebra are ...
Sh. A. Ayupov +2 more
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Deriving derivatives of derivative securities
The Journal of Computational Finance, 2000We use various techniques to simplify the derivations of "greeks" of path-independent claims in the Black-Merton-Scholes model. We first interpret delta, gamma, speed, and other higher order spatial derivatives of these claims as the values of certain quantoed contingent claims.
openaire +2 more sources
On special subalgebras of derivations of Lie algebras
, 2015Let L be a Lie algebra, and Der(L) and IDer(L) be the set of all derivations and inner derivations of L, respectively. Also, let Derc(L) denote the set of all derivations α ∈ Der(L) for which α(x) ∈ Imadx for all x ∈ L.
S. Sheikh-Mohseni, F. Saeedi, M. B. Asl
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