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Modeling arbitrarily applicable relational responding with the non-axiomatic reasoning system: a Machine Psychology approach. [PDF]
Johansson R.
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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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On the derivations, generalized derivations and ternary derivations of degree $n$
Rendiconti del Circolo Matematico di Palermo Series 2, 2022In this paper, we introduce the concepts of derivation of degree $n$, generalized derivation of degree $n$ and ternary derivation of degree $n$, where $n$ is a positive integer, and then we study algebraic properties of these mappings. For instance, we study the image of derivations of degree $n$ on algebras and in this regard we prove ...
Amin Hosseini +1 more
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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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Derivations of Skew PBW-Extensions
Communications in Mathematics and Statistics, 2015V A Artamonov, Artamonov V A
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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.
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Derived Varieties and Derived Equational Theories
International Journal of Algebra and Computation, 1998This paper describes a derivation process for varieties and equational theories using the theory of hypersubstitutions and M-hyperidentities. A hypersubstitution σ of type τ is a map which takes each n-ary operation symbol of the type to an n-ary term of this type.
Denecke, Klaus-Dieter +2 more
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