Rta Algebraic Structure Of Discussion And Research

It’s very interesting for us to discuss the structure and classification for an algebra.In order to discuss the relationship between Regular Triangular Algebra (RTA)and Quantum Groups deeply, we get out the definition and some examples about subalgebra of RTA based on the definition and some examples of RTA.This paper is divided into three chapters.The first chapter We give the definitions for RTA and strict RTA.Further more,we discuss the strict RTA deeply and get out two examples which are verified in detail.The second chapter We obtain the definitions of subalgebra of RTA and strict subalgebra of RTA which are verified in detail, in addition there is an example verified which can reflect the definition of strict subalgebra of RTA correctlyThe third chapter We summarize the relationship between Regular Triangular Algebra (RTA) and Quantum Groups. Moreover, we discuss that what can we obtain from the paper.The main work of this paper is to obtain the definitions and example for subalgebra of RTA, with the help of the first chapter we can discuss this algebra more deeply.