Operator algebras over Cayley-Dickson numbers
Vertex Operator Algebras and the Monster,134
C*-Algebras and Operator Theory,
Three papers on operator algebras in geometric topology
Classification Of Low Dimensional Nilpotent Leibniz Algebras
Derivations of low-dimensional Leibniz Algebras
Sergey V. Simonenko Non-equilibrium Statistical Thermohydro-dynamics of Turbulence
Six Dimensional Solvable Indecomposable Lie Algebras over R.
Operator Inequalities on Hilbert Spaces
The C*-algebras of Irrational Time Homeomorphisms ofSuspensions
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2008-Edition 6-Number-in-1 Multi-Operator Magic-SIM with Card Cloning Software and USB Reader
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Dickson Study Guide For Introduction To ?chemistry? 3ed
Мини-холодильник Dickson Concepts BC-1500A
A derivation is a function on an algebra which generalizes certain features of the derivative operator. Specifically, given an algebra A over a ring or field K, an K-derivation is an K-linear map D from A to itself that satisfies Leibniz's law: D(ab)=(Da)b+a(Db). More generally, an K-linear map D of A into an A-module M, satisfying the Leibniz law is also called a derivation. The collection of all K-derivation of A to itself is denoted by Der(A). The collection of K-derivations of A into an A-module M is denoted by Der(A,M). Derivations occur in many different contexts in diverse areas of mathematics. If the algebra A is noncommutative, then the commutator with respect to an element of the algebra A defines a linear endomorphism of A to itself, which is a derivation over K. Furthermore, the K-module Der(A) forms a Lie algebra with respect to Lie bracket defined by the commutator: [D1,D2]=D1 D2 - D2 D1. In this book we deal with the derivations of Leibniz algebras. The Leibniz algebra is a generalization of Lie algebra, so it makes sense to study the problems related to Lie algebras for the class of Leibniz algebras.