Certain Types Of Gk-dimension Four Knott Hopf Algebra

This dissertation consists of four sections. We shall compute the algebra automor-phisms of four kinds of Noetherian Hopf algebra domains of Gelfand-Kirillov dimension three, then construct some kinds of Noetherian Hopf algebra domains of Gelfand-Kirillov dimension four by Ore extension.The first and second sections are introduction and preliminaries respectively.In the third section, we compute some algebra automorphisms of four kinds of Noethe-rian Hopf algebra domains of Gelfand-Kirillov dimension three, which paves the way for the constructions of four kinds of Noetherian Hopf algebra domains of Gelfand-Kirillov dimension four in the next section.In the fourth section, we construct four kinds of Noetherian Hopf algebra domains of Gelfand-Kirillov dimension four by making use of the results of the third section and Ore extension.