For quantum mechanical control systems with structures of universal enveloping algebras, the thesis studies the enlargability of the universal enveloping algebras and the domain problems.
In the last part, we further generalize left symmetric algebra and left symmetric structure on Lie algebras into Lie color algebras.
The concept and some of fundamental properties of prime filters in lattice implication algebras are introduced.
The concept of generalized T_derivation is introduced and the properties of T_derivations on pure algebra and operator algebras are obtained.
In the first chapter, we discuss the fully graded algebras over discrete valuation ring with an algebraically closed residue field of characteristic p.
In this paper we consider the semisimplicity of implicative BCK-algebras and obtain several equivalent conditions which an implicative BCK-algebra is semisimple.
The Linear Equation Method (LEM) for evaluating induction and subduction coefficients of Hecke, Brauer, and Birman_Wenzl algebras in various algebraic chains is reviewed.
The underlying model of time appropriate to the application can range from discrete natural numbers and integers to dense linear real numbers or to algebras of intervals and trees.
We give a sufficient condition for a finite dimensional symmetric self-dual Lie color algebras to be a double extension, thus we solve its classification in the sense of cohomology;
